432474240 has 128 divisors (see below), whose sum is σ = 1503904320. Its totient is φ = 104837120.

The previous prime is 432474227. The next prime is 432474253. The reversal of 432474240 is 42474234.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (432474227) and next prime (432474253).

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 432474198 and 432474207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10882 + ... + 31358.

Almost surely, 2^432474240 is an apocalyptic number.

432474240 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 432474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751952160).

432474240 is an abundant number, since it is smaller than the sum of its proper divisors (1071430080).

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

432474240 is a wasteful number, since it uses less digits than its factorization.

432474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20510 (or 20498 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 30.

The square root of 432474240 is about 20796.0150028798. The cubic root of 432474240 is about 756.2291514413.

The spelling of 432474240 in words is "four hundred thirty-two million, four hundred seventy-four thousand, two hundred forty".