296890440 has 384 divisors, whose sum is σ = 1176698880. Its totient is φ = 58544640.

The previous prime is 296890423. The next prime is 296890457. The reversal of 296890440 is 44098692.

It is an interprime number because it is at equal distance from previous prime (296890423) and next prime (296890457).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 296890392 and 296890401.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2337657 + ... + 2337783.

It is an arithmetic number, because the mean of its divisors is an integer number (3064320).

Almost surely, 2^296890440 is an apocalyptic number.

296890440 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 296890440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588349440).

296890440 is an abundant number, since it is smaller than the sum of its proper divisors (879808440).

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

296890440 is a wasteful number, since it uses less digits than its factorization.

296890440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 296890440 is about 17230.5089884193. The cubic root of 296890440 is about 667.1119769264. Note that the first 3 decimals are identical.

The spelling of 296890440 in words is "two hundred ninety-six million, eight hundred ninety thousand, four hundred forty".