625249800 has 576 divisors, whose sum is σ = 2671704000. Its totient is φ = 133539840.

The previous prime is 625249787. The next prime is 625249811. The reversal of 625249800 is 8942526.

It is a happy number.

625249800 is a `hidden beast` number, since 625 + 24 + 9 + 8 + 0 + 0 = 666.

It is a super-3 number, since 3×625249800³ (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4498131 + ... + 4498269.

It is an arithmetic number, because the mean of its divisors is an integer number (4638375).

Almost surely, 2^625249800 is an apocalyptic number.

625249800 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 625249800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1335852000).

625249800 is an abundant number, since it is smaller than the sum of its proper divisors (2046454200).

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

625249800 is a wasteful number, since it uses less digits than its factorization.

625249800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 625249800 is about 25004.9955008994. The cubic root of 625249800 is about 855.1018653640.

The spelling of 625249800 in words is "six hundred twenty-five million, two hundred forty-nine thousand, eight hundred".