467874432 has 96 divisors (see below), whose sum is σ = 1350809460. Its totient is φ = 155443200.

The previous prime is 467874431. The next prime is 467874469. The reversal of 467874432 is 234478764.

It can be written as a sum of positive squares in 2 ways, for example, as 434972736 + 32901696 = 20856^2 + 5736^2 .

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 (467874431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 530632 + ... + 531512.

Almost surely, 2^467874432 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 467874432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675404730).

467874432 is an abundant number, since it is smaller than the sum of its proper divisors (882935028).

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

467874432 is a wasteful number, since it uses less digits than its factorization.

467874432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1347 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The square root of 467874432 is about 21630.4052666611. The cubic root of 467874432 is about 776.3241639954.

The spelling of 467874432 in words is "four hundred sixty-seven million, eight hundred seventy-four thousand, four hundred thirty-two".