456360480 has 240 divisors, whose sum is σ = 1681694784. Its totient is φ = 116328960.

The previous prime is 456360473. The next prime is 456360497. The reversal of 456360480 is 84063654.

456360480 is a `hidden beast` number, since 45 + 6 + 3 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 297315 + ... + 298845.

Almost surely, 2^456360480 is an apocalyptic number.

456360480 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 456360480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (840847392).

456360480 is an abundant number, since it is smaller than the sum of its proper divisors (1225334304).

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

456360480 is a wasteful number, since it uses less digits than its factorization.

456360480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1564 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 456360480 is about 21362.5953479440. The cubic root of 456360480 is about 769.9029955946.

The spelling of 456360480 in words is "four hundred fifty-six million, three hundred sixty thousand, four hundred eighty".