212465400 has 96 divisors (see below), whose sum is σ = 752749440. Its totient is φ = 48562560.

The previous prime is 212465399. The next prime is 212465411. The reversal of 212465400 is 4564212.

212465400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21094 + ... + 29493.

It is an arithmetic number, because the mean of its divisors is an integer number (7841140).

Almost surely, 2^212465400 is an apocalyptic number.

212465400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212465400 is an abundant number, since it is smaller than the sum of its proper divisors (540284040).

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

212465400 is a wasteful number, since it uses less digits than its factorization.

212465400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50613 (or 50604 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 212465400 is about 14576.1929185916. The cubic root of 212465400 is about 596.7092063481.

The spelling of 212465400 in words is "two hundred twelve million, four hundred sixty-five thousand, four hundred".