456295248 has 80 divisors (see below), whose sum is σ = 1345181760. Its totient is φ = 147982464.

The previous prime is 456295237. The next prime is 456295261. The reversal of 456295248 is 842592654.

456295248 is nontrivially palindromic in base 11.

It is a congruent number.

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, 1711 + ... + 30257.

It is an arithmetic number, because the mean of its divisors is an integer number (16814772).

Almost surely, 2^456295248 is an apocalyptic number.

456295248 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 456295248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672590880).

456295248 is an abundant number, since it is smaller than the sum of its proper divisors (888886512).

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

456295248 is a wasteful number, since it uses less digits than its factorization.

456295248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28601 (or 28589 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 456295248 is about 21361.0685126002. The cubic root of 456295248 is about 769.8663106292.

The spelling of 456295248 in words is "four hundred fifty-six million, two hundred ninety-five thousand, two hundred forty-eight".