365130240 has 80 divisors (see below), whose sum is σ = 1167300288. Its totient is φ = 97366016.

The previous prime is 365130229. The next prime is 365130289. The reversal of 365130240 is 42031563.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 365130240.

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 7 ways as a sum of consecutive naturals, for example, 16092 + ... + 31451.

Almost surely, 2^365130240 is an apocalyptic number.

365130240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

365130240 is an abundant number, since it is smaller than the sum of its proper divisors (802170048).

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

365130240 is an equidigital number, since it uses as much as digits as its factorization.

365130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47569 (or 47553 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 365130240 is about 19108.3814071208. The cubic root of 365130240 is about 714.7419415278.

The spelling of 365130240 in words is "three hundred sixty-five million, one hundred thirty thousand, two hundred forty".