466176480 has 192 divisors, whose sum is σ = 1830947328. Its totient is φ = 96860160.

The previous prime is 466176461. The next prime is 466176511. The reversal of 466176480 is 84671664.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30654 + ... + 43266.

It is an arithmetic number, because the mean of its divisors is an integer number (9536184).

Almost surely, 2^466176480 is an apocalyptic number.

466176480 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 466176480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915473664).

466176480 is an abundant number, since it is smaller than the sum of its proper divisors (1364770848).

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

466176480 is a wasteful number, since it uses less digits than its factorization.

466176480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12649 (or 12641 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 466176480 is about 21591.1203970521. The cubic root of 466176480 is about 775.3839124604.

The spelling of 466176480 in words is "four hundred sixty-six million, one hundred seventy-six thousand, four hundred eighty".