213507408 has 80 divisors (see below), whose sum is σ = 584079680. Its totient is φ = 67018752.

The previous prime is 213507401. The next prime is 213507439. The reversal of 213507408 is 804705312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213507401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175410 + ... + 176622.

It is an arithmetic number, because the mean of its divisors is an integer number (7300996).

Almost surely, 2^213507408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213507408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292039840).

213507408 is an abundant number, since it is smaller than the sum of its proper divisors (370572272).

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

213507408 is a wasteful number, since it uses less digits than its factorization.

213507408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1436 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 213507408 is about 14611.8926905449. The cubic root of 213507408 is about 597.6831093229.

The spelling of 213507408 in words is "two hundred thirteen million, five hundred seven thousand, four hundred eight".