350986464 has 72 divisors (see below), whose sum is σ = 1030341312. Its totient is φ = 113218560.

The previous prime is 350986453. The next prime is 350986481. The reversal of 350986464 is 464689053.

350986464 is a `hidden beast` number, since 3 + 509 + 86 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×350986464² = 246382995822446592, which contains 22 as substring.

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10729 + ... + 28584.

It is an arithmetic number, because the mean of its divisors is an integer number (14310296).

Almost surely, 2^350986464 is an apocalyptic number.

It is an amenable number.

350986464 is an abundant number, since it is smaller than the sum of its proper divisors (679354848).

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

350986464 is a wasteful number, since it uses less digits than its factorization.

350986464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39360 (or 39349 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 350986464 is about 18734.6327425973. The cubic root of 350986464 is about 705.3913384885.

The spelling of 350986464 in words is "three hundred fifty million, nine hundred eighty-six thousand, four hundred sixty-four".