432029472 has 144 divisors (see below), whose sum is σ = 1365154560. Its totient is φ = 119142912.

The previous prime is 432029459. The next prime is 432029497. The reversal of 432029472 is 274920234.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134833 + ... + 137999.

It is an arithmetic number, because the mean of its divisors is an integer number (9480240).

Almost surely, 2^432029472 is an apocalyptic number.

432029472 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432029472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682577280).

432029472 is an abundant number, since it is smaller than the sum of its proper divisors (933125088).

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

432029472 is a wasteful number, since it uses less digits than its factorization.

432029472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3223 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 432029472 is about 20785.3186648654. The cubic root of 432029472 is about 755.9698204688.

The spelling of 432029472 in words is "four hundred thirty-two million, twenty-nine thousand, four hundred seventy-two".