432049248 has 48 divisors (see below), whose sum is σ = 1260146160. Its totient is φ = 144016128.

The previous prime is 432049229. The next prime is 432049249. The reversal of 432049248 is 842940234.

It is a tau number, because it is divible by the number of its divisors (48).

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (432049249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 249165 + ... + 250892.

It is an arithmetic number, because the mean of its divisors is an integer number (26253045).

Almost surely, 2^432049248 is an apocalyptic number.

432049248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

432049248 is an abundant number, since it is smaller than the sum of its proper divisors (828096912).

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

432049248 is a wasteful number, since it uses less digits than its factorization.

432049248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500076 (or 500062 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 432049248 is about 20785.7943798162. The cubic root of 432049248 is about 755.9813550453.

The spelling of 432049248 in words is "four hundred thirty-two million, forty-nine thousand, two hundred forty-eight".