425088000 has 440 divisors, whose sum is σ = 1622845224. Its totient is φ = 110592000.

The previous prime is 425087989. The next prime is 425088011. The reversal of 425088000 is 880524.

It is an interprime number because it is at equal distance from previous prime (425087989) and next prime (425088011).

It can be written as a sum of positive squares in 4 ways, for example, as 95883264 + 329204736 = 9792^2 + 18144^2 .

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10367980 + ... + 10368020.

Almost surely, 2^425088000 is an apocalyptic number.

425088000 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 425088000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811422612).

425088000 is an abundant number, since it is smaller than the sum of its proper divisors (1197757224).

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

425088000 is an equidigital number, since it uses as much as digits as its factorization.

425088000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 425088000 is about 20617.6623311179. The cubic root of 425088000 is about 751.8991867270.

The spelling of 425088000 in words is "four hundred twenty-five million, eighty-eight thousand".