213373440 has 480 divisors, whose sum is σ = 893692800. Its totient is φ = 48771072.

The previous prime is 213373429. The next prime is 213373453. The reversal of 213373440 is 44373312.

213373440 is a `hidden beast` number, since 213 + 3 + 7 + 3 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30481917 + ... + 30481923.

It is an arithmetic number, because the mean of its divisors is an integer number (1861860).

Almost surely, 2^213373440 is an apocalyptic number.

213373440 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 213373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446846400).

213373440 is an abundant number, since it is smaller than the sum of its proper divisors (680319360).

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

213373440 is an frugal number, since it uses more digits than its factorization.

213373440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 213373440 is about 14607.3077601590. The cubic root of 213373440 is about 597.5580751543.

The spelling of 213373440 in words is "two hundred thirteen million, three hundred seventy-three thousand, four hundred forty".