10457456 has 40 divisors (see below), whose sum is σ = 21394464. Its totient is φ = 4942080.

The previous prime is 10457449. The next prime is 10457459. The reversal of 10457456 is 65475401.

10457456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10457459) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57686 + ... + 57866.

Almost surely, 2^10457456 is an apocalyptic number.

10457456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10457456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10697232).

10457456 is an abundant number, since it is smaller than the sum of its proper divisors (10937008).

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

10457456 is a wasteful number, since it uses less digits than its factorization.

10457456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 10457456 is about 3233.7990042673. The cubic root of 10457456 is about 218.6798070298.

The spelling of 10457456 in words is "ten million, four hundred fifty-seven thousand, four hundred fifty-six".