425884800 has 384 divisors, whose sum is σ = 1586059200. Its totient is φ = 99532800.

The previous prime is 425884787. The next prime is 425884817. The reversal of 425884800 is 8488524.

It is a tau number, because it is divible by the number of its divisors (384).

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, 3907146 + ... + 3907254.

Almost surely, 2^425884800 is an apocalyptic number.

425884800 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 425884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793029600).

425884800 is an abundant number, since it is smaller than the sum of its proper divisors (1160174400).

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

425884800 is a wasteful number, since it uses less digits than its factorization.

425884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 39.

The square root of 425884800 is about 20636.9765227370. The cubic root of 425884800 is about 752.3686889856.

The spelling of 425884800 in words is "four hundred twenty-five million, eight hundred eighty-four thousand, eight hundred".