213060456 has 224 divisors, whose sum is σ = 727151040. Its totient is φ = 57106944.

The previous prime is 213060443. The next prime is 213060479. The reversal of 213060456 is 654060312.

213060456 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 604 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 693855 + ... + 694161.

It is an arithmetic number, because the mean of its divisors is an integer number (3246210).

Almost surely, 2^213060456 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 213060456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363575520).

213060456 is an abundant number, since it is smaller than the sum of its proper divisors (514090584).

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

213060456 is a wasteful number, since it uses less digits than its factorization.

213060456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 213060456 is about 14596.5905608125. The cubic root of 213060456 is about 597.2657588023.

The spelling of 213060456 in words is "two hundred thirteen million, sixty thousand, four hundred fifty-six".