456873696 has 120 divisors (see below), whose sum is σ = 1414523880. Its totient is φ = 144260352.

The previous prime is 456873689. The next prime is 456873707. The reversal of 456873696 is 696378654.

456873696 is a `hidden beast` number, since 4 + 568 + 73 + 6 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44610 + ... + 53886.

It is an arithmetic number, because the mean of its divisors is an integer number (11787699).

Almost surely, 2^456873696 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 456873696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707261940).

456873696 is an abundant number, since it is smaller than the sum of its proper divisors (957650184).

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

456873696 is a wasteful number, since it uses less digits than its factorization.

456873696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9318 (or 9301 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The square root of 456873696 is about 21374.6039963317. The cubic root of 456873696 is about 770.1914945100.

The spelling of 456873696 in words is "four hundred fifty-six million, eight hundred seventy-three thousand, six hundred ninety-six".