10046456 has 64 divisors (see below), whose sum is σ = 23302080. Its totient is φ = 3962880.

The previous prime is 10046447. The next prime is 10046467. The reversal of 10046456 is 65464001.

10046456 = 1195² + 1196² + ... + 1201².

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 57986 + ... + 58158.

It is an arithmetic number, because the mean of its divisors is an integer number (364095).

Almost surely, 2^10046456 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 10046456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11651040).

10046456 is an abundant number, since it is smaller than the sum of its proper divisors (13255624).

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

10046456 is a wasteful number, since it uses less digits than its factorization.

10046456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 10046456 is about 3169.6144875994. The cubic root of 10046456 is about 215.7765751018.

The spelling of 10046456 in words is "ten million, forty-six thousand, four hundred fifty-six".