432978040 has 64 divisors (see below), whose sum is σ = 1088730720. Its totient is φ = 153600000.

The previous prime is 432978037. The next prime is 432978043. The reversal of 432978040 is 40879234.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (432978037) and next prime (432978043).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (432978043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6040 + ... + 30040.

Almost surely, 2^432978040 is an apocalyptic number.

432978040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432978040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544365360).

432978040 is an abundant number, since it is smaller than the sum of its proper divisors (655752680).

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

432978040 is a wasteful number, since it uses less digits than its factorization.

432978040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24064 (or 24060 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 432978040 is about 20808.1243748686. The cubic root of 432978040 is about 756.5226875382.

It can be divided in two parts, 4329 and 78040, that added together give a square (82369 = 287²).

The spelling of 432978040 in words is "four hundred thirty-two million, nine hundred seventy-eight thousand, forty".