456166480 has 240 divisors, whose sum is σ = 1374019200. Its totient is φ = 139238400.

The previous prime is 456166463. The next prime is 456166481. The reversal of 456166480 is 84661654.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456166481) 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 47 ways as a sum of consecutive naturals, for example, 3061446 + ... + 3061594.

It is an arithmetic number, because the mean of its divisors is an integer number (5725080).

Almost surely, 2^456166480 is an apocalyptic number.

456166480 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 456166480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687009600).

456166480 is an abundant number, since it is smaller than the sum of its proper divisors (917852720).

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

456166480 is a wasteful number, since it uses less digits than its factorization.

456166480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The square root of 456166480 is about 21358.0542184910. The cubic root of 456166480 is about 769.7938842252.

The spelling of 456166480 in words is "four hundred fifty-six million, one hundred sixty-six thousand, four hundred eighty".