456499440 has 120 divisors (see below), whose sum is σ = 1586014560. Its totient is φ = 117530112.

The previous prime is 456499403. The next prime is 456499447. The reversal of 456499440 is 44994654.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456499447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9949 + ... + 31811.

It is an arithmetic number, because the mean of its divisors is an integer number (13216788).

Almost surely, 2^456499440 is an apocalyptic number.

456499440 is a gapful number since it is divisible by the number (40) 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 456499440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793007280).

456499440 is an abundant number, since it is smaller than the sum of its proper divisors (1129515120).

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

456499440 is a wasteful number, since it uses less digits than its factorization.

456499440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21911 (or 21902 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 456499440 is about 21365.8475141989. The cubic root of 456499440 is about 769.9811318253.

The spelling of 456499440 in words is "four hundred fifty-six million, four hundred ninety-nine thousand, four hundred forty".