212366400 has 168 divisors, whose sum is σ = 703746624. Its totient is φ = 56064000.

The previous prime is 212366369. The next prime is 212366419. The reversal of 212366400 is 4663212.

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

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 724654 + ... + 724946.

It is an arithmetic number, because the mean of its divisors is an integer number (4188968).

Almost surely, 2^212366400 is an apocalyptic number.

212366400 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 212366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351873312).

212366400 is an abundant number, since it is smaller than the sum of its proper divisors (491380224).

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

212366400 is a wasteful number, since it uses less digits than its factorization.

212366400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 212366400 is about 14572.7965744397. The cubic root of 212366400 is about 596.6165114290.

The spelling of 212366400 in words is "two hundred twelve million, three hundred sixty-six thousand, four hundred".