456460480 has 168 divisors, whose sum is σ = 1295723088. Its totient is φ = 152635392.

The previous prime is 456460469. The next prime is 456460483. The reversal of 456460480 is 84064654.

It is not an unprimeable number, because it can be changed into a prime (456460483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 673902 + ... + 674578.

Almost surely, 2^456460480 is an apocalyptic number.

456460480 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 456460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647861544).

456460480 is an abundant number, since it is smaller than the sum of its proper divisors (839262608).

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

456460480 is a wasteful number, since it uses less digits than its factorization.

456460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 456460480 is about 21364.9357593230. The cubic root of 456460480 is about 769.9592264911.

The spelling of 456460480 in words is "four hundred fifty-six million, four hundred sixty thousand, four hundred eighty".