368461440 has 128 divisors (see below), whose sum is σ = 1305028800. Its totient is φ = 98251776.

The previous prime is 368461397. The next prime is 368461481. The reversal of 368461440 is 44164863.

368461440 is a `hidden beast` number, since 36 + 8 + 4 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 368461395 and 368461404.

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 15 ways as a sum of consecutive naturals, for example, 6619 + ... + 27941.

Almost surely, 2^368461440 is an apocalyptic number.

368461440 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 368461440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652514400).

368461440 is an abundant number, since it is smaller than the sum of its proper divisors (936567360).

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

368461440 is a wasteful number, since it uses less digits than its factorization.

368461440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21351 (or 21333 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 368461440 is about 19195.3494367776. The cubic root of 368461440 is about 716.9089711295.

The spelling of 368461440 in words is "three hundred sixty-eight million, four hundred sixty-one thousand, four hundred forty".