312290496 has 168 divisors, whose sum is σ = 1037990304. Its totient is φ = 87920640.

The previous prime is 312290491. The next prime is 312290519. The reversal of 312290496 is 694092213.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a self number, because there is not a number n which added to its sum of digits gives 312290496.

It is not an unprimeable number, because it can be changed into a prime (312290491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293806 + ... + 294866.

Almost surely, 2^312290496 is an apocalyptic number.

312290496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312290496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518995152).

312290496 is an abundant number, since it is smaller than the sum of its proper divisors (725699808).

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

312290496 is a wasteful number, since it uses less digits than its factorization.

312290496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 312290496 is about 17671.7428682063. The cubic root of 312290496 is about 678.4527218875.

The spelling of 312290496 in words is "three hundred twelve million, two hundred ninety thousand, four hundred ninety-six".