426556800 has 192 divisors, whose sum is σ = 1561395600. Its totient is φ = 113725440.

The previous prime is 426556799. The next prime is 426556813. The reversal of 426556800 is 8655624.

426556800 is a `hidden beast` number, since 4 + 26 + 556 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 83932 + ... + 88868.

Almost surely, 2^426556800 is an apocalyptic number.

426556800 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 426556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780697800).

426556800 is an abundant number, since it is smaller than the sum of its proper divisors (1134838800).

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

426556800 is a wasteful number, since it uses less digits than its factorization.

426556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4970 (or 4947 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 426556800 is about 20653.2515599844. The cubic root of 426556800 is about 752.7641997504.

It can be divided in two parts, 42655 and 6800, that added together give a triangular number (49455 = T₃₁₄).

The spelling of 426556800 in words is "four hundred twenty-six million, five hundred fifty-six thousand, eight hundred".