432276420 has 96 divisors (see below), whose sum is σ = 1248952320. Its totient is φ = 111646080.

The previous prime is 432276413. The next prime is 432276433. The reversal of 432276420 is 24672234.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337341 + ... + 338619.

It is an arithmetic number, because the mean of its divisors is an integer number (13009920).

Almost surely, 2^432276420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432276420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624476160).

432276420 is an abundant number, since it is smaller than the sum of its proper divisors (816675900).

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

432276420 is a wasteful number, since it uses less digits than its factorization.

432276420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 432276420 is about 20791.2582591819. The cubic root of 432276420 is about 756.1138304564.

The spelling of 432276420 in words is "four hundred thirty-two million, two hundred seventy-six thousand, four hundred twenty".