10457580 has 72 divisors (see below), whose sum is σ = 34071408. Its totient is φ = 2389632.

The previous prime is 10457549. The next prime is 10457593. The reversal of 10457580 is 8575401.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1162 + ... + 4718.

It is an arithmetic number, because the mean of its divisors is an integer number (473214).

Almost surely, 2^10457580 is an apocalyptic number.

10457580 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 10457580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17035704).

10457580 is an abundant number, since it is smaller than the sum of its proper divisors (23613828).

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

10457580 is a wasteful number, since it uses less digits than its factorization.

10457580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3583 (or 3574 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 10457580 is about 3233.8181767069. The cubic root of 10457580 is about 218.6806713633.

The spelling of 10457580 in words is "ten million, four hundred fifty-seven thousand, five hundred eighty".