213062400 has 324 divisors, whose sum is σ = 795725112. Its totient is φ = 56401920.

The previous prime is 213062347. The next prime is 213062417. The reversal of 213062400 is 4260312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (324).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1555132 + ... + 1555268.

Almost surely, 2^213062400 is an apocalyptic number.

213062400 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 213062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397862556).

213062400 is an abundant number, since it is smaller than the sum of its proper divisors (582662712).

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

213062400 is an equidigital number, since it uses as much as digits as its factorization.

213062400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 213062400 is about 14596.6571515536. The cubic root of 213062400 is about 597.2675753151.

The spelling of 213062400 in words is "two hundred thirteen million, sixty-two thousand, four hundred".