213187464 has 160 divisors (see below), whose sum is σ = 698934720. Its totient is φ = 59439744.

The previous prime is 213187453. The next prime is 213187477. The reversal of 213187464 is 464781312.

213187464 is a `hidden beast` number, since 2 + 13 + 187 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 194502 + ... + 195594.

It is an arithmetic number, because the mean of its divisors is an integer number (4368342).

Almost surely, 2^213187464 is an apocalyptic number.

213187464 is a gapful number since it is divisible by the number (24) 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 213187464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349467360).

213187464 is an abundant number, since it is smaller than the sum of its proper divisors (485747256).

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

213187464 is a wasteful number, since it uses less digits than its factorization.

213187464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1148 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 213187464 is about 14600.9405176516. The cubic root of 213187464 is about 597.3844144220.

It can be divided in two parts, 21318 and 7464, that added together give a palindrome (28782).

The spelling of 213187464 in words is "two hundred thirteen million, one hundred eighty-seven thousand, four hundred sixty-four".