368044560 has 400 divisors, whose sum is σ = 1463250096. Its totient is φ = 84934656.

The previous prime is 368044559. The next prime is 368044571. The reversal of 368044560 is 65440863.

It can be written as a sum of positive squares in 8 ways, for example, as 16257024 + 351787536 = 4032^2 + 18756^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1431952 + ... + 1432208.

Almost surely, 2^368044560 is an apocalyptic number.

368044560 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 368044560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731625048).

368044560 is an abundant number, since it is smaller than the sum of its proper divisors (1095205536).

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

368044560 is a wasteful number, since it uses less digits than its factorization.

368044560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 368044560 is about 19184.4874833809. The cubic root of 368044560 is about 716.6384970599.

The spelling of 368044560 in words is "three hundred sixty-eight million, forty-four thousand, five hundred sixty".