432129040 has 60 divisors (see below), whose sum is σ = 1168743276. Its totient is φ = 148157184.

The previous prime is 432129013. The next prime is 432129067. The reversal of 432129040 is 40921234.

It is an interprime number because it is at equal distance from previous prime (432129013) and next prime (432129067).

It can be written as a sum of positive squares in 2 ways, for example, as 317124864 + 115004176 = 17808^2 + 10724^2 .

It is a super-2 number, since 2×432129040² = 373471014422643200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 432128996 and 432129014.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51199 + ... + 59038.

Almost surely, 2^432129040 is an apocalyptic number.

432129040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

432129040 is an abundant number, since it is smaller than the sum of its proper divisors (736614236).

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

432129040 is a wasteful number, since it uses less digits than its factorization.

432129040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110264 (or 110251 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 432129040 is about 20787.7136789980. The cubic root of 432129040 is about 756.0278910606.

The spelling of 432129040 in words is "four hundred thirty-two million, one hundred twenty-nine thousand, forty".