467528832 has 96 divisors (see below), whose sum is σ = 1424561580. Its totient is φ = 146669568.

The previous prime is 467528821. The next prime is 467528833. The reversal of 467528832 is 238825764.

467528832 is a `hidden beast` number, since 46 + 7 + 528 + 83 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 465523776 + 2005056 = 21576^2 + 1416^2 .

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

It is not an unprimeable number, because it can be changed into a prime (467528833) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7648 + ... + 31520.

Almost surely, 2^467528832 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 467528832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712280790).

467528832 is an abundant number, since it is smaller than the sum of its proper divisors (957032748).

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

467528832 is a wasteful number, since it uses less digits than its factorization.

467528832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23910 (or 23895 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 467528832 is about 21622.4150362535. The cubic root of 467528832 is about 776.1329704472.

The spelling of 467528832 in words is "four hundred sixty-seven million, five hundred twenty-eight thousand, eight hundred thirty-two".