425152800 has 234 divisors, whose sum is σ = 1556855433. Its totient is φ = 113374080.

The previous prime is 425152781. The next prime is 425152807. The reversal of 425152800 is 8251524.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 416649744 + 8503056 = 20412^2 + 2916^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=14580.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (425152807) by changing a digit.

It is a polite number, since it can be written in 38 ways as a sum of consecutive naturals, for example, 85030558 + ... + 85030562.

Almost surely, 2^425152800 is an apocalyptic number.

425152800 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 425152800

425152800 is an abundant number, since it is smaller than the sum of its proper divisors (1131702633).

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

425152800 is an frugal number, since it uses more digits than its factorization.

425152800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 425152800 is about 20619.2337393997. The cubic root of 425152800 is about 751.9373910453.

Multiplying 425152800 by its product of nonzero digits (3200), we get a 4-th power (1360488960000 = 1080⁴).

The spelling of 425152800 in words is "four hundred twenty-five million, one hundred fifty-two thousand, eight hundred".