466048080 has 400 divisors, whose sum is σ = 1750066560. Its totient is φ = 114656256.

The previous prime is 466048073. The next prime is 466048091. The reversal of 466048080 is 80840664.

466048080 is a `hidden beast` number, since 46 + 60 + 480 + 80 = 666.

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 79 ways as a sum of consecutive naturals, for example, 7899091 + ... + 7899149.

Almost surely, 2^466048080 is an apocalyptic number.

466048080 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 466048080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875033280).

466048080 is an abundant number, since it is smaller than the sum of its proper divisors (1284018480).

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

466048080 is a wasteful number, since it uses less digits than its factorization.

466048080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 145 counting only the distinct ones).

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

The square root of 466048080 is about 21588.1467476947. The cubic root of 466048080 is about 775.3127173653.

The spelling of 466048080 in words is "four hundred sixty-six million, forty-eight thousand, eighty".