467832064 has 72 divisors (see below), whose sum is σ = 1082567808. Its totient is φ = 197621760.

The previous prime is 467832037. The next prime is 467832097. The reversal of 467832064 is 460238764.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125394 + ... + 129070.

It is an arithmetic number, because the mean of its divisors is an integer number (15035664).

Almost surely, 2^467832064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467832064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541283904).

467832064 is an abundant number, since it is smaller than the sum of its proper divisors (614735744).

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

467832064 is an equidigital number, since it uses as much as digits as its factorization.

467832064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771 (or 3757 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 40.

The square root of 467832064 is about 21629.4258823483. The cubic root of 467832064 is about 776.3007301474.

The spelling of 467832064 in words is "four hundred sixty-seven million, eight hundred thirty-two thousand, sixty-four".