432024480 has 72 divisors (see below), whose sum is σ = 1474288452. Its totient is φ = 115206144.

The previous prime is 432024473. The next prime is 432024497. The reversal of 432024480 is 84420234.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 415670544 + 16353936 = 20388^2 + 4044^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 148569 + ... + 151448.

Almost surely, 2^432024480 is an apocalyptic number.

432024480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432024480 is an abundant number, since it is smaller than the sum of its proper divisors (1042263972).

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

432024480 is a wasteful number, since it uses less digits than its factorization.

432024480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300038 (or 300027 counting only the distinct ones).

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

The square root of 432024480 is about 20785.1985797586. The cubic root of 432024480 is about 755.9669087724.

The spelling of 432024480 in words is "four hundred thirty-two million, twenty-four thousand, four hundred eighty".