365809920 has 288 divisors, whose sum is σ = 1381416960. Its totient is φ = 80732160.

The previous prime is 365809919. The next prime is 365809931. The reversal of 365809920 is 29908563.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 833061 + ... + 833499.

Almost surely, 2^365809920 is an apocalyptic number.

365809920 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 365809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690708480).

365809920 is an abundant number, since it is smaller than the sum of its proper divisors (1015607040).

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

365809920 is a wasteful number, since it uses less digits than its factorization.

365809920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 365809920 is about 19126.1580041576. The cubic root of 365809920 is about 715.1851575177.

The spelling of 365809920 in words is "three hundred sixty-five million, eight hundred nine thousand, nine hundred twenty".