312694400 has 192 divisors, whose sum is σ = 841092000. Its totient is φ = 114462720.

The previous prime is 312694399. The next prime is 312694411. The reversal of 312694400 is 4496213.

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 23 ways as a sum of consecutive naturals, for example, 2249531 + ... + 2249669.

Almost surely, 2^312694400 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 312694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420546000).

312694400 is an abundant number, since it is smaller than the sum of its proper divisors (528397600).

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

312694400 is a wasteful number, since it uses less digits than its factorization.

312694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 312694400 is about 17683.1671371392. The cubic root of 312694400 is about 678.7450903893.

The spelling of 312694400 in words is "three hundred twelve million, six hundred ninety-four thousand, four hundred".