213473408 has 64 divisors (see below), whose sum is σ = 444312000. Its totient is φ = 102036480.

The previous prime is 213473399. The next prime is 213473413. The reversal of 213473408 is 804374312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 486053 + ... + 486491.

It is an arithmetic number, because the mean of its divisors is an integer number (6942375).

Almost surely, 2^213473408 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 213473408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222156000).

213473408 is an abundant number, since it is smaller than the sum of its proper divisors (230838592).

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

213473408 is a wasteful number, since it uses less digits than its factorization.

213473408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 213473408 is about 14610.7292083592. The cubic root of 213473408 is about 597.6513816111.

The spelling of 213473408 in words is "two hundred thirteen million, four hundred seventy-three thousand, four hundred eight".