212645400 has 288 divisors, whose sum is σ = 756982800. Its totient is φ = 49280000.

The previous prime is 212645383. The next prime is 212645413. The reversal of 212645400 is 4546212.

It is a super-2 number, since 2×212645400² = 90436132282320000, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2105350 + ... + 2105450.

Almost surely, 2^212645400 is an apocalyptic number.

212645400 is a gapful number since it is divisible by the number (20) 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 212645400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378491400).

212645400 is an abundant number, since it is smaller than the sum of its proper divisors (544337400).

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

212645400 is a wasteful number, since it uses less digits than its factorization.

212645400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 151 counting only the distinct ones).

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

The square root of 212645400 is about 14582.3660631600. The cubic root of 212645400 is about 596.8776688202.

The spelling of 212645400 in words is "two hundred twelve million, six hundred forty-five thousand, four hundred".