456875328 has 224 divisors, whose sum is σ = 1511157760. Its totient is φ = 118609920.

The previous prime is 456875327. The next prime is 456875333. The reversal of 456875328 is 823578654.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456875327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1380123 + ... + 1380453.

It is an arithmetic number, because the mean of its divisors is an integer number (6746240).

Almost surely, 2^456875328 is an apocalyptic number.

456875328 is a gapful number since it is divisible by the number (48) 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 456875328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755578880).

456875328 is an abundant number, since it is smaller than the sum of its proper divisors (1054282432).

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

456875328 is a wasteful number, since it uses less digits than its factorization.

456875328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 435 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The square root of 456875328 is about 21374.6421724435. The cubic root of 456875328 is about 770.1924115767.

It can be divided in two parts, 45687 and 5328, that added together give a palindrome (51015).

The spelling of 456875328 in words is "four hundred fifty-six million, eight hundred seventy-five thousand, three hundred twenty-eight".