456103872 has 140 divisors (see below), whose sum is σ = 1545305520. Its totient is φ = 130305024.

The previous prime is 456103861. The next prime is 456103877. The reversal of 456103872 is 278301654.

456103872 is a `hidden beast` number, since 4 + 5 + 610 + 38 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456103877) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30004 + ... + 42572.

Almost surely, 2^456103872 is an apocalyptic number.

456103872 is a gapful number since it is divisible by the number (42) 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 456103872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772652760).

456103872 is an abundant number, since it is smaller than the sum of its proper divisors (1089201648).

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

456103872 is a wasteful number, since it uses less digits than its factorization.

456103872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12600 (or 12581 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 456103872 is about 21356.5884916107. The cubic root of 456103872 is about 769.7586650215.

The spelling of 456103872 in words is "four hundred fifty-six million, one hundred three thousand, eight hundred seventy-two".