467730432 has 204 divisors, whose sum is σ = 1479005164. Its totient is φ = 141557760.

The previous prime is 467730421. The next prime is 467730451. The reversal of 467730432 is 234037764.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 37748736 + 429981696 = 6144^2 + 20736^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7667682 + ... + 7667742.

Almost surely, 2^467730432 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 467730432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739502582).

467730432 is an abundant number, since it is smaller than the sum of its proper divisors (1011274732).

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

467730432 is an equidigital number, since it uses as much as digits as its factorization.

467730432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 36.

The square root of 467730432 is about 21627.0763627449. The cubic root of 467730432 is about 776.2445114628.

The spelling of 467730432 in words is "four hundred sixty-seven million, seven hundred thirty thousand, four hundred thirty-two".