213438720 has 288 divisors, whose sum is σ = 772337664. Its totient is φ = 49766400.

The previous prime is 213438683. The next prime is 213438737. The reversal of 213438720 is 27834312.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1309359 + ... + 1309521.

It is an arithmetic number, because the mean of its divisors is an integer number (2681728).

Almost surely, 2^213438720 is an apocalyptic number.

213438720 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 213438720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386168832).

213438720 is an abundant number, since it is smaller than the sum of its proper divisors (558898944).

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

213438720 is a wasteful number, since it uses less digits than its factorization.

213438720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 213438720 is about 14609.5420872798. The cubic root of 213438720 is about 597.6190084078.

The spelling of 213438720 in words is "two hundred thirteen million, four hundred thirty-eight thousand, seven hundred twenty".