466800480 has 144 divisors (see below), whose sum is σ = 1644499584. Its totient is φ = 120453120.

The previous prime is 466800431. The next prime is 466800497. The reversal of 466800480 is 84008664.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39412 + ... + 49868.

It is an arithmetic number, because the mean of its divisors is an integer number (11420136).

Almost surely, 2^466800480 is an apocalyptic number.

466800480 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 466800480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822249792).

466800480 is an abundant number, since it is smaller than the sum of its proper divisors (1177699104).

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

466800480 is a wasteful number, since it uses less digits than its factorization.

466800480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10509 (or 10498 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 466800480 is about 21605.5659495418. The cubic root of 466800480 is about 775.7297212985.

The spelling of 466800480 in words is "four hundred sixty-six million, eight hundred thousand, four hundred eighty".