625397760 has 520 divisors, whose sum is σ = 2497599720. Its totient is φ = 148635648.

The previous prime is 625397743. The next prime is 625397767. The reversal of 625397760 is 67793526.

It can be written as a sum of positive squares in 4 ways, for example, as 11943936 + 613453824 = 3456^2 + 24768^2 .

It is a tau number, because it is divible by the number of its divisors (520).

It is a super-2 number, since 2×625397760² = 782244716426035200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625397767) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21565426 + ... + 21565454.

Almost surely, 2^625397760 is an apocalyptic number.

625397760 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 625397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248799860).

625397760 is an abundant number, since it is smaller than the sum of its proper divisors (1872201960).

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

625397760 is a wasteful number, since it uses less digits than its factorization.

625397760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The square root of 625397760 is about 25007.9539346985. The cubic root of 625397760 is about 855.1693108838.

The spelling of 625397760 in words is "six hundred twenty-five million, three hundred ninety-seven thousand, seven hundred sixty".