432400248 has 64 divisors (see below), whose sum is σ = 1372704000. Its totient is φ = 123542496.

The previous prime is 432400247. The next prime is 432400249. The reversal of 432400248 is 842004234.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (432400247) and next prime (432400249).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432400247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141478 + ... + 144501.

It is an arithmetic number, because the mean of its divisors is an integer number (21448500).

Almost surely, 2^432400248 is an apocalyptic number.

It is an amenable number.

432400248 is an abundant number, since it is smaller than the sum of its proper divisors (940303752).

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

432400248 is a wasteful number, since it uses less digits than its factorization.

432400248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286001 (or 285991 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 432400248 is about 20794.2359321039. The cubic root of 432400248 is about 756.1860212433.

The spelling of 432400248 in words is "four hundred thirty-two million, four hundred thousand, two hundred forty-eight".