456738528 has 48 divisors (see below), whose sum is σ = 1204277760. Its totient is φ = 151568256.

The previous prime is 456738523. The next prime is 456738539. The reversal of 456738528 is 825837654.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×456738528² = 417220165919213568, which contains 22 as substring.

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 (456738523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11313 + ... + 32271.

It is an arithmetic number, because the mean of its divisors is an integer number (25089120).

Almost surely, 2^456738528 is an apocalyptic number.

456738528 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 456738528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602138880).

456738528 is an abundant number, since it is smaller than the sum of its proper divisors (747539232).

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

456738528 is a wasteful number, since it uses less digits than its factorization.

456738528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21199 (or 21191 counting only the distinct ones).

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

The square root of 456738528 is about 21371.4418792930. The cubic root of 456738528 is about 770.1155322231.

The spelling of 456738528 in words is "four hundred fifty-six million, seven hundred thirty-eight thousand, five hundred twenty-eight".