402974208 has 360 divisors, whose sum is σ = 1479061584. Its totient is φ = 102850560.

The previous prime is 402974197. The next prime is 402974219. The reversal of 402974208 is 802479204.

It is an interprime number because it is at equal distance from previous prime (402974197) and next prime (402974219).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12999153 + ... + 12999183.

Almost surely, 2^402974208 is an apocalyptic number.

402974208 is a gapful number since it is divisible by the number (48) 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 402974208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739530792).

402974208 is an abundant number, since it is smaller than the sum of its proper divisors (1076087376).

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

402974208 is a wasteful number, since it uses less digits than its factorization.

402974208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 402974208 is about 20074.2174940893. The cubic root of 402974208 is about 738.6279714612.

The spelling of 402974208 in words is "four hundred two million, nine hundred seventy-four thousand, two hundred eight".