426357600 has 144 divisors (see below), whose sum is σ = 1411784640. Its totient is φ = 111731200.

The previous prime is 426357593. The next prime is 426357611. The reversal of 426357600 is 6753624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140095 + ... + 143105.

It is an arithmetic number, because the mean of its divisors is an integer number (9804060).

Almost surely, 2^426357600 is an apocalyptic number.

426357600 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 426357600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705892320).

426357600 is an abundant number, since it is smaller than the sum of its proper divisors (985427040).

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

426357600 is a wasteful number, since it uses less digits than its factorization.

426357600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3093 (or 3080 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 33.

The square root of 426357600 is about 20648.4285116325. The cubic root of 426357600 is about 752.6470024027.

The spelling of 426357600 in words is "four hundred twenty-six million, three hundred fifty-seven thousand, six hundred".