402631008 has 192 divisors, whose sum is σ = 1209116160. Its totient is φ = 117072384.

The previous prime is 402631001. The next prime is 402631013. The reversal of 402631008 is 800136204.

It is a happy number.

It is a super-2 number, since 2×402631008² = 324223457206192128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402631001) 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, 4850935 + ... + 4851017.

It is an arithmetic number, because the mean of its divisors is an integer number (6297480).

Almost surely, 2^402631008 is an apocalyptic number.

402631008 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 402631008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604558080).

402631008 is an abundant number, since it is smaller than the sum of its proper divisors (806485152).

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

402631008 is a wasteful number, since it uses less digits than its factorization.

402631008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 402631008 is about 20065.6673948314. The cubic root of 402631008 is about 738.4182234476.

The spelling of 402631008 in words is "four hundred two million, six hundred thirty-one thousand, eight".