365074560 has 256 divisors, whose sum is σ = 1330243200. Its totient is φ = 94556160.

The previous prime is 365074553. The next prime is 365074571. The reversal of 365074560 is 65470563.

365074560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 639075 + ... + 639645.

Almost surely, 2^365074560 is an apocalyptic number.

365074560 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 365074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665121600).

365074560 is an abundant number, since it is smaller than the sum of its proper divisors (965168640).

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

365074560 is a wasteful number, since it uses less digits than its factorization.

365074560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 365074560 is about 19106.9243992852. The cubic root of 365074560 is about 714.7056085065.

It can be divided in two parts, 3650 and 74560, that added together give a triangular number (78210 = T₃₉₅).

The spelling of 365074560 in words is "three hundred sixty-five million, seventy-four thousand, five hundred sixty".