456468480 has 384 divisors, whose sum is σ = 1761177600. Its totient is φ = 111476736.

The previous prime is 456468469. The next prime is 456468487. The reversal of 456468480 is 84864654.

456468480 is a `hidden beast` number, since 4 + 564 + 6 + 8 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (456468487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3594177 + ... + 3594303.

It is an arithmetic number, because the mean of its divisors is an integer number (4586400).

Almost surely, 2^456468480 is an apocalyptic number.

456468480 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 456468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (880588800).

456468480 is an abundant number, since it is smaller than the sum of its proper divisors (1304709120).

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

456468480 is a wasteful number, since it uses less digits than its factorization.

456468480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 456468480 is about 21365.1229811579. The cubic root of 456468480 is about 769.9637246080.

The spelling of 456468480 in words is "four hundred fifty-six million, four hundred sixty-eight thousand, four hundred eighty".