213504456 has 64 divisors (see below), whose sum is σ = 594708480. Its totient is φ = 63318080.

The previous prime is 213504449. The next prime is 213504491. The reversal of 213504456 is 654405312.

213504456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3805 + ... + 21011.

It is an arithmetic number, because the mean of its divisors is an integer number (9292320).

Almost surely, 2^213504456 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 213504456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297354240).

213504456 is an abundant number, since it is smaller than the sum of its proper divisors (381204024).

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

213504456 is a wasteful number, since it uses less digits than its factorization.

213504456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17274 (or 17270 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 213504456 is about 14611.7916765878. The cubic root of 213504456 is about 597.6803547445.

Adding to 213504456 its reverse (654405312), we get a palindrome (867909768).

The spelling of 213504456 in words is "two hundred thirteen million, five hundred four thousand, four hundred fifty-six".