365988240 has 160 divisors (see below), whose sum is σ = 1334914560. Its totient is φ = 91846656.

The previous prime is 365988211. The next prime is 365988281. The reversal of 365988240 is 42889563.

365988240 is a `hidden beast` number, since 36 + 598 + 8 + 24 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31737 + ... + 41703.

It is an arithmetic number, because the mean of its divisors is an integer number (8343216).

Almost surely, 2^365988240 is an apocalyptic number.

365988240 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 365988240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667457280).

365988240 is an abundant number, since it is smaller than the sum of its proper divisors (968926320).

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

365988240 is a wasteful number, since it uses less digits than its factorization.

365988240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10006 (or 9994 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 365988240 is about 19130.8191147164. The cubic root of 365988240 is about 715.3013481889.

The spelling of 365988240 in words is "three hundred sixty-five million, nine hundred eighty-eight thousand, two hundred forty".