625442400 has 432 divisors, whose sum is σ = 2467810800. Its totient is φ = 147763200.

The previous prime is 625442383. The next prime is 625442407. The reversal of 625442400 is 4244526.

625442400 is a `hidden beast` number, since 6 + 254 + 4 + 2 + 400 = 666.

625442400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625442407) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4197526 + ... + 4197674.

It is an arithmetic number, because the mean of its divisors is an integer number (5712525).

Almost surely, 2^625442400 is an apocalyptic number.

625442400 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 625442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1233905400).

625442400 is an abundant number, since it is smaller than the sum of its proper divisors (1842368400).

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

625442400 is a wasteful number, since it uses less digits than its factorization.

625442400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 625442400 is about 25008.8464348118. The cubic root of 625442400 is about 855.1896573215.

Adding to 625442400 its reverse (4244526), we get a palindrome (629686926).

The spelling of 625442400 in words is "six hundred twenty-five million, four hundred forty-two thousand, four hundred".