312453504 has 128 divisors (see below), whose sum is σ = 1006128000. Its totient is φ = 94671360.

The previous prime is 312453503. The next prime is 312453517. The reversal of 312453504 is 405354213.

312453504 is a `hidden beast` number, since 3 + 124 + 535 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312453503) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 33907 + ... + 42125.

It is an arithmetic number, because the mean of its divisors is an integer number (7860375).

Almost surely, 2^312453504 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 312453504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503064000).

312453504 is an abundant number, since it is smaller than the sum of its proper divisors (693674496).

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

312453504 is a wasteful number, since it uses less digits than its factorization.

312453504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8253 (or 8235 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 312453504 is about 17676.3543752664. The cubic root of 312453504 is about 678.5707465963.

The spelling of 312453504 in words is "three hundred twelve million, four hundred fifty-three thousand, five hundred four".