426612800 has 42 divisors (see below), whose sum is σ = 1049738058. Its totient is φ = 170644480.

The previous prime is 426612787. The next prime is 426612821. The reversal of 426612800 is 8216624.

It can be written as a sum of positive squares in 3 ways, for example, as 102900736 + 323712064 = 10144^2 + 17992^2 .

It is a super-2 number, since 2×426612800² = 363996962247680000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 131717 + ... + 134916.

Almost surely, 2^426612800 is an apocalyptic number.

426612800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426612800 is an abundant number, since it is smaller than the sum of its proper divisors (623125258).

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

426612800 is a wasteful number, since it uses less digits than its factorization.

426612800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266655 (or 266640 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 426612800 is about 20654.6072342226. The cubic root of 426612800 is about 752.7971402252.

The spelling of 426612800 in words is "four hundred twenty-six million, six hundred twelve thousand, eight hundred".