425476800 has 630 divisors, whose sum is σ = 1846437252. Its totient is φ = 95800320.

The previous prime is 425476771. The next prime is 425476817. The reversal of 425476800 is 8674524.

It is a tau number, because it is divible by the number of its divisors (630).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 6350367 + ... + 6350433.

Almost surely, 2^425476800 is an apocalyptic number.

425476800 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 425476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923218626).

425476800 is an abundant number, since it is smaller than the sum of its proper divisors (1420960452).

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

425476800 is a wasteful number, since it uses less digits than its factorization.

425476800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 425476800 is about 20627.0889851186. The cubic root of 425476800 is about 752.1283544299.

The spelling of 425476800 in words is "four hundred twenty-five million, four hundred seventy-six thousand, eight hundred".