213588480 has 320 divisors, whose sum is σ = 813162240. Its totient is φ = 46792704.

The previous prime is 213588461. The next prime is 213588497. The reversal of 213588480 is 84885312.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1558972 + ... + 1559108.

It is an arithmetic number, because the mean of its divisors is an integer number (2541132).

Almost surely, 2^213588480 is an apocalyptic number.

213588480 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 213588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406581120).

213588480 is an abundant number, since it is smaller than the sum of its proper divisors (599573760).

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

213588480 is a wasteful number, since it uses less digits than its factorization.

213588480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 213588480 is about 14614.6666058450. Note that the first 4 decimals coincide. The cubic root of 213588480 is about 597.7587495293.

The spelling of 213588480 in words is "two hundred thirteen million, five hundred eighty-eight thousand, four hundred eighty".