368808480 has 72 divisors (see below), whose sum is σ = 1258563852. Its totient is φ = 98348544.

The previous prime is 368808443. The next prime is 368808497. The reversal of 368808480 is 84808863.

It can be written as a sum of positive squares in 2 ways, for example, as 335768976 + 33039504 = 18324^2 + 5748^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 126619 + ... + 129498.

Almost surely, 2^368808480 is an apocalyptic number.

368808480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

368808480 is an abundant number, since it is smaller than the sum of its proper divisors (889755372).

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

368808480 is a wasteful number, since it uses less digits than its factorization.

368808480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256138 (or 256127 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 368808480 is about 19204.3869988084. The cubic root of 368808480 is about 717.1339770529.

The spelling of 368808480 in words is "three hundred sixty-eight million, eight hundred eight thousand, four hundred eighty".