426524400 has 240 divisors, whose sum is σ = 1541751520. Its totient is φ = 111974400.

The previous prime is 426524359. The next prime is 426524437. The reversal of 426524400 is 4425624.

426524400 is a `hidden beast` number, since 4 + 2 + 652 + 4 + 4 + 0 + 0 = 666.

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, 788130 + ... + 788670.

Almost surely, 2^426524400 is an apocalyptic number.

426524400 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 426524400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770875760).

426524400 is an abundant number, since it is smaller than the sum of its proper divisors (1115227120).

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

426524400 is a wasteful number, since it uses less digits than its factorization.

426524400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 426524400 is about 20652.4671649660. The cubic root of 426524400 is about 752.7451400162.

The spelling of 426524400 in words is "four hundred twenty-six million, five hundred twenty-four thousand, four hundred".