368096480 has 96 divisors (see below), whose sum is σ = 917360640. Its totient is φ = 139368960.

The previous prime is 368096479. The next prime is 368096489. The reversal of 368096480 is 84690863.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (368096489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 232331 + ... + 233909.

It is an arithmetic number, because the mean of its divisors is an integer number (9555840).

Almost surely, 2^368096480 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 368096480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458680320).

368096480 is an abundant number, since it is smaller than the sum of its proper divisors (549264160).

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

368096480 is a wasteful number, since it uses less digits than its factorization.

368096480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 368096480 is about 19185.8406122849. The cubic root of 368096480 is about 716.6721941765.

The spelling of 368096480 in words is "three hundred sixty-eight million, ninety-six thousand, four hundred eighty".