212750400 has 168 divisors, whose sum is σ = 705510400. Its totient is φ = 56125440.

The previous prime is 212750387. The next prime is 212750413. The reversal of 212750400 is 4057212.

It is an interprime number because it is at equal distance from previous prime (212750387) and next prime (212750413).

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, 609426 + ... + 609774.

Almost surely, 2^212750400 is an apocalyptic number.

212750400 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 212750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (352755200).

212750400 is an abundant number, since it is smaller than the sum of its proper divisors (492760000).

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

212750400 is a wasteful number, since it uses less digits than its factorization.

212750400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 212750400 is about 14585.9658576318. The cubic root of 212750400 is about 596.9758946971.

The spelling of 212750400 in words is "two hundred twelve million, seven hundred fifty thousand, four hundred".