213734400 has 396 divisors, whose sum is σ = 810218976. Its totient is φ = 49561600.

The previous prime is 213734383. The next prime is 213734447. The reversal of 213734400 is 4437312.

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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9292789 + ... + 9292811.

Almost surely, 2^213734400 is an apocalyptic number.

213734400 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 213734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405109488).

213734400 is an abundant number, since it is smaller than the sum of its proper divisors (596484576).

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

213734400 is a wasteful number, since it uses less digits than its factorization.

213734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 213734400 is about 14619.6579987358. The cubic root of 213734400 is about 597.8948447293.

The spelling of 213734400 in words is "two hundred thirteen million, seven hundred thirty-four thousand, four hundred".