425462400 has 576 divisors, whose sum is σ = 1775779200. Its totient is φ = 95846400.

The previous prime is 425462363. The next prime is 425462407. The reversal of 425462400 is 4264524.

425462400 is a `hidden beast` number, since 4 + 254 + 6 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (425462407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5385561 + ... + 5385639.

It is an arithmetic number, because the mean of its divisors is an integer number (3082950).

Almost surely, 2^425462400 is an apocalyptic number.

425462400 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 425462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887889600).

425462400 is an abundant number, since it is smaller than the sum of its proper divisors (1350316800).

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

425462400 is a wasteful number, since it uses less digits than its factorization.

425462400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 117 counting only the distinct ones).

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

The square root of 425462400 is about 20626.7399266098. The cubic root of 425462400 is about 752.1198692274.

The spelling of 425462400 in words is "four hundred twenty-five million, four hundred sixty-two thousand, four hundred".