466877880 has 384 divisors, whose sum is σ = 1872000000. Its totient is φ = 100590336.

The previous prime is 466877869. The next prime is 466877893. The reversal of 466877880 is 88778664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2346021 + ... + 2346219.

It is an arithmetic number, because the mean of its divisors is an integer number (4875000).

Almost surely, 2^466877880 is an apocalyptic number.

466877880 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 466877880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936000000).

466877880 is an abundant number, since it is smaller than the sum of its proper divisors (1405122120).

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

466877880 is a wasteful number, since it uses less digits than its factorization.

466877880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The square root of 466877880 is about 21607.3570804020. The cubic root of 466877880 is about 775.7725934069.

The spelling of 466877880 in words is "four hundred sixty-six million, eight hundred seventy-seven thousand, eight hundred eighty".