312669504 has 112 divisors (see below), whose sum is σ = 1050544000. Its totient is φ = 89330688.

The previous prime is 312669433. The next prime is 312669517. The reversal of 312669504 is 405966213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 829 + ... + 25020.

Almost surely, 2^312669504 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 312669504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525272000).

312669504 is an abundant number, since it is smaller than the sum of its proper divisors (737874496).

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

312669504 is a wasteful number, since it uses less digits than its factorization.

312669504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25877 (or 25861 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 312669504 is about 17682.4631768314. The cubic root of 312669504 is about 678.7270765434.

The spelling of 312669504 in words is "three hundred twelve million, six hundred sixty-nine thousand, five hundred four".