625838400 has 420 divisors, whose sum is σ = 2515270560. Its totient is φ = 151372800.

The previous prime is 625838393. The next prime is 625838401. The reversal of 625838400 is 4838526.

It is a super-3 number, since 3×625838400³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (625838401) 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 59 ways as a sum of consecutive naturals, for example, 1425381 + ... + 1425819.

Almost surely, 2^625838400 is an apocalyptic number.

625838400 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 625838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257635280).

625838400 is an abundant number, since it is smaller than the sum of its proper divisors (1889432160).

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

625838400 is a wasteful number, since it uses less digits than its factorization.

625838400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 625838400 is about 25016.7623804520. The cubic root of 625838400 is about 855.3701075415.

The spelling of 625838400 in words is "six hundred twenty-five million, eight hundred thirty-eight thousand, four hundred".