296904960 has 432 divisors, whose sum is σ = 1174400640. Its totient is φ = 70963200.

The previous prime is 296904947. The next prime is 296904967. The reversal of 296904960 is 69409692.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (296904967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4181725 + ... + 4181795.

It is an arithmetic number, because the mean of its divisors is an integer number (2718520).

Almost surely, 2^296904960 is an apocalyptic number.

296904960 is a gapful number since it is divisible by the number (20) 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 296904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587200320).

296904960 is an abundant number, since it is smaller than the sum of its proper divisors (877495680).

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

296904960 is a wasteful number, since it uses less digits than its factorization.

296904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 296904960 is about 17230.9303289172. The cubic root of 296904960 is about 667.1228522154.

The spelling of 296904960 in words is "two hundred ninety-six million, nine hundred four thousand, nine hundred sixty".