312454464 has 112 divisors (see below), whose sum is σ = 948830208. Its totient is φ = 88892928.

The previous prime is 312454453. The next prime is 312454489. The reversal of 312454464 is 464454213.

It is a happy number.

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

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, 514449 + ... + 515055.

Almost surely, 2^312454464 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 312454464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474415104).

312454464 is an abundant number, since it is smaller than the sum of its proper divisors (636375744).

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

312454464 is a wasteful number, since it uses less digits than its factorization.

312454464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1002 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

The square root of 312454464 is about 17676.3815301662. The cubic root of 312454464 is about 678.5714415555.

The spelling of 312454464 in words is "three hundred twelve million, four hundred fifty-four thousand, four hundred sixty-four".