213901440 has 128 divisors (see below), whose sum is σ = 700470720. Its totient is φ = 55480320.

The previous prime is 213901417. The next prime is 213901451. The reversal of 213901440 is 44109312.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 213901440.

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 15 ways as a sum of consecutive naturals, for example, 69535 + ... + 72545.

Almost surely, 2^213901440 is an apocalyptic number.

213901440 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 213901440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350235360).

213901440 is an abundant number, since it is smaller than the sum of its proper divisors (486569280).

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

213901440 is a wasteful number, since it uses less digits than its factorization.

213901440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3070 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 213901440 is about 14625.3697389160. The cubic root of 213901440 is about 598.0505619004.

The spelling of 213901440 in words is "two hundred thirteen million, nine hundred one thousand, four hundred forty".