10457540 has 48 divisors (see below), whose sum is σ = 23030784. Its totient is φ = 3984000.

The previous prime is 10457537. The next prime is 10457549. The reversal of 10457540 is 4575401.

10457540 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 (10457549) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62537 + ... + 62703.

It is an arithmetic number, because the mean of its divisors is an integer number (479808).

Almost surely, 2^10457540 is an apocalyptic number.

10457540 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 10457540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11515392).

10457540 is an abundant number, since it is smaller than the sum of its proper divisors (12573244).

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

10457540 is a wasteful number, since it uses less digits than its factorization.

10457540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 26.

The square root of 10457540 is about 3233.8119920614. The cubic root of 10457540 is about 218.6803925468.

The spelling of 10457540 in words is "ten million, four hundred fifty-seven thousand, five hundred forty".