212625504 has 432 divisors, whose sum is σ = 810416880. Its totient is φ = 52254720.

The previous prime is 212625493. The next prime is 212625521. The reversal of 212625504 is 405526212.

212625504 = 309³ + 310³ + ... + 315³.

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 71 ways as a sum of consecutive naturals, for example, 3485634 + ... + 3485694.

It is an arithmetic number, because the mean of its divisors is an integer number (1875965).

Almost surely, 2^212625504 is an apocalyptic number.

212625504 is a gapful number since it is divisible by the number (24) 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 212625504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405208440).

212625504 is an abundant number, since it is smaller than the sum of its proper divisors (597791376).

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

212625504 is a wasteful number, since it uses less digits than its factorization.

212625504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 212625504 is about 14581.6838533826. The cubic root of 212625504 is about 596.8590527761.

The spelling of 212625504 in words is "two hundred twelve million, six hundred twenty-five thousand, five hundred four".