213384040 has 16 divisors (see below), whose sum is σ = 480114180. Its totient is φ = 85353600.

The previous prime is 213384029. The next prime is 213384053. The reversal of 213384040 is 40483312.

It can be written as a sum of positive squares in 2 ways, for example, as 201810436 + 11573604 = 14206^2 + 3402^2 .

It is a junction number, because it is equal to n+sod(n) for n = 213383996 and 213384014.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2667261 + ... + 2667340.

Almost surely, 2^213384040 is an apocalyptic number.

213384040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213384040 is an abundant number, since it is smaller than the sum of its proper divisors (266730140).

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

213384040 is a wasteful number, since it uses less digits than its factorization.

213384040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5334612 (or 5334608 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 213384040 is about 14607.6705877426. The cubic root of 213384040 is about 597.5679701858.

The spelling of 213384040 in words is "two hundred thirteen million, three hundred eighty-four thousand, forty".