10457280 has 84 divisors (see below), whose sum is σ = 35978592. Its totient is φ = 2787840.

The previous prime is 10457263. The next prime is 10457287. The reversal of 10457280 is 8275401.

10457280 is a `hidden beast` number, since 10 + 4 + 572 + 80 = 666.

It is not an unprimeable number, because it can be changed into a prime (10457287) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1065 + ... + 4695.

Almost surely, 2^10457280 is an apocalyptic number.

10457280 is a gapful number since it is divisible by the number (10) 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 10457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17989296).

10457280 is an abundant number, since it is smaller than the sum of its proper divisors (25521312).

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

10457280 is a wasteful number, since it uses less digits than its factorization.

10457280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3654 (or 3641 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10457280 is about 3233.7717915771. The cubic root of 10457280 is about 218.6785802221.

The spelling of 10457280 in words is "ten million, four hundred fifty-seven thousand, two hundred eighty".