402631680 has 176 divisors, whose sum is σ = 1405453824. Its totient is φ = 97566720.

The previous prime is 402631673. The next prime is 402631687. The reversal of 402631680 is 86136204.

It is an interprime number because it is at equal distance from previous prime (402631673) and next prime (402631687).

It is a tau number, because it is divible by the number of its divisors (176).

It is a super-2 number, since 2×402631680² = 324224539479244800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (402631687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167769 + ... + 170151.

Almost surely, 2^402631680 is an apocalyptic number.

402631680 is a gapful number since it is divisible by the number (40) 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 402631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702726912).

402631680 is an abundant number, since it is smaller than the sum of its proper divisors (1002822144).

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

402631680 is a wasteful number, since it uses less digits than its factorization.

402631680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 402631680 is about 20065.6841398443. The cubic root of 402631680 is about 738.4186342595.

Adding to 402631680 its reverse (86136204), we get a palindrome (488767884).

The spelling of 402631680 in words is "four hundred two million, six hundred thirty-one thousand, six hundred eighty".