625248000 has 432 divisors, whose sum is σ = 2437396416. Its totient is φ = 152985600.

The previous prime is 625247999. The next prime is 625248017. The reversal of 625248000 is 842526.

625248000 is a `hidden beast` number, since 62 + 524 + 80 + 0 + 0 = 666.

It is a congruent number.

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, 3743917 + ... + 3744083.

Almost surely, 2^625248000 is an apocalyptic number.

625248000 is a gapful number since it is divisible by the number (60) 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 625248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218698208).

625248000 is an abundant number, since it is smaller than the sum of its proper divisors (1812148416).

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

625248000 is a wasteful number, since it uses less digits than its factorization.

625248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 625248000 is about 25004.9595080656. The cubic root of 625248000 is about 855.1010447934.

The spelling of 625248000 in words is "six hundred twenty-five million, two hundred forty-eight thousand".