625408560 has 480 divisors, whose sum is σ = 2646259200. Its totient is φ = 134991360.

The previous prime is 625408559. The next prime is 625408561. The reversal of 625408560 is 65804526.

625408560 is a `hidden beast` number, since 62 + 540 + 8 + 56 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (625408559) and next prime (625408561).

It is a super-2 number, since 2×625408560² = 782271733842547200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (625408561) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2010805 + ... + 2011115.

It is an arithmetic number, because the mean of its divisors is an integer number (5513040).

Almost surely, 2^625408560 is an apocalyptic number.

625408560 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 625408560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323129600).

625408560 is an abundant number, since it is smaller than the sum of its proper divisors (2020850640).

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

625408560 is a wasteful number, since it uses less digits than its factorization.

625408560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 625408560 is about 25008.1698650661. The cubic root of 625408560 is about 855.1742334978.

The spelling of 625408560 in words is "six hundred twenty-five million, four hundred eight thousand, five hundred sixty".