367479840 has 384 divisors, whose sum is σ = 1463132160. Its totient is φ = 75460608.

The previous prime is 367479823. The next prime is 367479857. The reversal of 367479840 is 48974763.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (367479823) and next prime (367479857).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 367479840.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2052871 + ... + 2053049.

It is an arithmetic number, because the mean of its divisors is an integer number (3810240).

Almost surely, 2^367479840 is an apocalyptic number.

367479840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 367479840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731566080).

367479840 is an abundant number, since it is smaller than the sum of its proper divisors (1095652320).

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

367479840 is a wasteful number, since it uses less digits than its factorization.

367479840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 367479840 is about 19169.7636918143. The cubic root of 367479840 is about 716.2717776456.

The spelling of 367479840 in words is "three hundred sixty-seven million, four hundred seventy-nine thousand, eight hundred forty".