361313440 has 96 divisors (see below), whose sum is σ = 910103040. Its totient is φ = 135235584.

The previous prime is 361313437. The next prime is 361313471. The reversal of 361313440 is 44313163.

It is a happy number.

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 15 ways as a sum of consecutive naturals, for example, 171916 + ... + 174004.

It is an arithmetic number, because the mean of its divisors is an integer number (9480240).

Almost surely, 2^361313440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 361313440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455051520).

361313440 is an abundant number, since it is smaller than the sum of its proper divisors (548789600).

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

361313440 is a wasteful number, since it uses less digits than its factorization.

361313440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 2166 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 361313440 is about 19008.2466313966. The cubic root of 361313440 is about 712.2427527259.

The spelling of 361313440 in words is "three hundred sixty-one million, three hundred thirteen thousand, four hundred forty".