625046400 has 288 divisors, whose sum is σ = 2434297320. Its totient is φ = 151449600.

The previous prime is 625046399. The next prime is 625046407. The reversal of 625046400 is 4640526.

It is a happy number.

625046400 is a `hidden beast` number, since 6 + 250 + 4 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625046407) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 315814 + ... + 317786.

Almost surely, 2^625046400 is an apocalyptic number.

625046400 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 625046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1217148660).

625046400 is an abundant number, since it is smaller than the sum of its proper divisors (1809250920).

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

625046400 is a wasteful number, since it uses less digits than its factorization.

625046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 625046400 is about 25000.9279827770. The cubic root of 625046400 is about 855.0091309172.

Adding to 625046400 its reverse (4640526), we get a palindrome (629686926).

It can be divided in two parts, 6250 and 46400, that added together give a triangular number (52650 = T₃₂₄).

The spelling of 625046400 in words is "six hundred twenty-five million, forty-six thousand, four hundred".