10458240 has 128 divisors (see below), whose sum is σ = 35985600. Its totient is φ = 2568192.

The previous prime is 10458211. The next prime is 10458251. The reversal of 10458240 is 4285401.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 10458240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24751 + ... + 25169.

Almost surely, 2^10458240 is an apocalyptic number.

10458240 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 10458240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17992800).

10458240 is an abundant number, since it is smaller than the sum of its proper divisors (25527360).

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

10458240 is a wasteful number, since it uses less digits than its factorization.

10458240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 10458240 is about 3233.9202216505. The cubic root of 10458240 is about 218.6852717331.

It can be divided in two parts, 10458 and 240, that multiplied together give a triangular number (2509920 = T₂₂₄₀).

The spelling of 10458240 in words is "ten million, four hundred fifty-eight thousand, two hundred forty".