426027600 has 240 divisors, whose sum is σ = 1538215040. Its totient is φ = 113374080.

The previous prime is 426027593. The next prime is 426027631. The reversal of 426027600 is 6720624.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 874557 + ... + 875043.

Almost surely, 2^426027600 is an apocalyptic number.

426027600 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 426027600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769107520).

426027600 is an abundant number, since it is smaller than the sum of its proper divisors (1112187440).

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

426027600 is an equidigital number, since it uses as much as digits as its factorization.

426027600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 426027600 is about 20640.4360419057. The cubic root of 426027600 is about 752.4527698160.

The spelling of 426027600 in words is "four hundred twenty-six million, twenty-seven thousand, six hundred".