467520672 has 96 divisors (see below), whose sum is σ = 1341494784. Its totient is φ = 141926400.

The previous prime is 467520671. The next prime is 467520679. The reversal of 467520672 is 276025764.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 467520672.

It is not an unprimeable number, because it can be changed into a prime (467520671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45972 + ... + 55212.

It is an arithmetic number, because the mean of its divisors is an integer number (13973904).

Almost surely, 2^467520672 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 467520672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670747392).

467520672 is an abundant number, since it is smaller than the sum of its proper divisors (873974112).

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

467520672 is a wasteful number, since it uses less digits than its factorization.

467520672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9302 (or 9294 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 467520672 is about 21622.2263423543. The cubic root of 467520672 is about 776.1284550166.

The spelling of 467520672 in words is "four hundred sixty-seven million, five hundred twenty thousand, six hundred seventy-two".