402979968 has 256 divisors, whose sum is σ = 1329264000. Its totient is φ = 119771136.

The previous prime is 402979963. The next prime is 402979979. The reversal of 402979968 is 869979204.

402979968 is a `hidden beast` number, since 402 + 97 + 99 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (402979963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21209463 + ... + 21209481.

Almost surely, 2^402979968 is an apocalyptic number.

402979968 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 402979968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664632000).

402979968 is an abundant number, since it is smaller than the sum of its proper divisors (926284032).

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

402979968 is an equidigital number, since it uses as much as digits as its factorization.

402979968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 402979968 is about 20074.3609611863. The cubic root of 402979968 is about 738.6314906913.

The spelling of 402979968 in words is "four hundred two million, nine hundred seventy-nine thousand, nine hundred sixty-eight".