625006400 has 84 divisors (see below), whose sum is σ = 1542847308. Its totient is φ = 249200640.

The previous prime is 625006379. The next prime is 625006429. The reversal of 625006400 is 4600526.

It can be written as a sum of positive squares in 6 ways, for example, as 178275904 + 446730496 = 13352^2 + 21136^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 922862 + ... + 923538.

Almost surely, 2^625006400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 625006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771423654).

625006400 is an abundant number, since it is smaller than the sum of its proper divisors (917840908).

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

625006400 is a wasteful number, since it uses less digits than its factorization.

625006400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 625006400 is about 25000.1279996723. The cubic root of 625006400 is about 854.9908916873.

Adding to 625006400 its reverse (4600526), we get a palindrome (629606926).

It can be divided in two parts, 62500 and 6400, that multiplied together give a square (400000000 = 20000²).

The spelling of 625006400 in words is "six hundred twenty-five million, six thousand, four hundred".