456776480 has 48 divisors (see below), whose sum is σ = 1091293560. Its totient is φ = 180652032.

The previous prime is 456776443. The next prime is 456776521. The reversal of 456776480 is 84677654.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 424195216 + 32581264 = 20596^2 + 5708^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1799 + ... + 30278.

Almost surely, 2^456776480 is an apocalyptic number.

456776480 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 456776480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545646780).

456776480 is an abundant number, since it is smaller than the sum of its proper divisors (634517080).

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

456776480 is a wasteful number, since it uses less digits than its factorization.

456776480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32181 (or 32173 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 47.

The square root of 456776480 is about 21372.3297747344. The cubic root of 456776480 is about 770.1368621624.

The spelling of 456776480 in words is "four hundred fifty-six million, seven hundred seventy-six thousand, four hundred eighty".