213812400 has 240 divisors, whose sum is σ = 743952384. Its totient is φ = 52285440.

The previous prime is 213812387. The next prime is 213812411. The reversal of 213812400 is 4218312.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 958689 + ... + 958911.

Almost surely, 2^213812400 is an apocalyptic number.

213812400 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 213812400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371976192).

213812400 is an abundant number, since it is smaller than the sum of its proper divisors (530139984).

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

213812400 is a wasteful number, since it uses less digits than its factorization.

213812400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 213812400 is about 14622.3253964614. The cubic root of 213812400 is about 597.9675675822.

The spelling of 213812400 in words is "two hundred thirteen million, eight hundred twelve thousand, four hundred".