466498872 has 128 divisors (see below), whose sum is σ = 1532160000. Its totient is φ = 128677248.

The previous prime is 466498859. The next prime is 466498883. The reversal of 466498872 is 278894664.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

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, 38529 + ... + 49167.

It is an arithmetic number, because the mean of its divisors is an integer number (11970000).

Almost surely, 2^466498872 is an apocalyptic number.

466498872 is a gapful number since it is divisible by the number (42) 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 466498872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766080000).

466498872 is an abundant number, since it is smaller than the sum of its proper divisors (1065661128).

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

466498872 is a wasteful number, since it uses less digits than its factorization.

466498872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10690 (or 10680 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 466498872 is about 21598.5849536492. The cubic root of 466498872 is about 775.5626144311.

The spelling of 466498872 in words is "four hundred sixty-six million, four hundred ninety-eight thousand, eight hundred seventy-two".