432672768 has 234 divisors, whose sum is σ = 1387899422. Its totient is φ = 129761280.

The previous prime is 432672767. The next prime is 432672791. The reversal of 432672768 is 867276234.

It can be written as a sum of positive squares in only one way, i.e., 361304064 + 71368704 = 19008^2 + 8448^2 .

It is not an unprimeable number, because it can be changed into a prime (432672767) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4460496 + ... + 4460592.

Almost surely, 2^432672768 is an apocalyptic number.

432672768 is a gapful number since it is divisible by the number (48) 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 432672768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693949711).

432672768 is an abundant number, since it is smaller than the sum of its proper divisors (955226654).

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

432672768 is a wasteful number, since it uses less digits than its factorization.

432672768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 113 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 432672768 is about 20800.7876773934. The cubic root of 432672768 is about 756.3448498113.

The spelling of 432672768 in words is "four hundred thirty-two million, six hundred seventy-two thousand, seven hundred sixty-eight".