467082672 has 80 divisors (see below), whose sum is σ = 1416314112. Its totient is φ = 129841920.

The previous prime is 467082653. The next prime is 467082683. The reversal of 467082672 is 276280764.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6354 + ... + 31217.

Almost surely, 2^467082672 is an apocalyptic number.

467082672 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 467082672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708157056).

467082672 is an abundant number, since it is smaller than the sum of its proper divisors (949231440).

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

467082672 is a wasteful number, since it uses less digits than its factorization.

467082672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37626 (or 37620 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 467082672 is about 21612.0955022876. The cubic root of 467082672 is about 775.8860055032.

The spelling of 467082672 in words is "four hundred sixty-seven million, eighty-two thousand, six hundred seventy-two".