432931248 has 180 divisors, whose sum is σ = 1312432368. Its totient is φ = 133171200.

The previous prime is 432931243. The next prime is 432931253. The reversal of 432931248 is 842139234.

It is a Cunningham number, because it is equal to 20807²-1.

It is an interprime number because it is at equal distance from previous prime (432931243) and next prime (432931253).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (432931243) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4203165 + ... + 4203267.

Almost surely, 2^432931248 is an apocalyptic number.

432931248 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 432931248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656216184).

432931248 is an abundant number, since it is smaller than the sum of its proper divisors (879501120).

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

432931248 is a wasteful number, since it uses less digits than its factorization.

432931248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 226 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 432931248 is about 20806.9999759696. Note that the first 4 decimals coincide. The cubic root of 432931248 is about 756.4954340506.

The spelling of 432931248 in words is "four hundred thirty-two million, nine hundred thirty-one thousand, two hundred forty-eight".