367420416 has 176 divisors, whose sum is σ = 1089462528. Its totient is φ = 109158400.

The previous prime is 367420411. The next prime is 367420421. The reversal of 367420416 is 614024763.

It is a happy number.

367420416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (367420411) and next prime (367420421).

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×367420416² = 269995524187226112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (367420411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2804671 + ... + 2804801.

It is an arithmetic number, because the mean of its divisors is an integer number (6190128).

Almost surely, 2^367420416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 367420416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544731264).

367420416 is an abundant number, since it is smaller than the sum of its proper divisors (722042112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

367420416 is a wasteful number, since it uses less digits than its factorization.

367420416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 367420416 is about 19168.2136882914. The cubic root of 367420416 is about 716.2331668848.

It can be divided in two parts, 3674 and 20416, that added together give a triangular number (24090 = T₂₁₉).

The spelling of 367420416 in words is "three hundred sixty-seven million, four hundred twenty thousand, four hundred sixteen".