432579840 has 648 divisors, whose sum is σ = 1859467680. Its totient is φ = 85155840.

The previous prime is 432579809. The next prime is 432579877. The reversal of 432579840 is 48975234.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 432579792 and 432579801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22767351 + ... + 22767369.

Almost surely, 2^432579840 is an apocalyptic number.

432579840 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 432579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (929733840).

432579840 is an abundant number, since it is smaller than the sum of its proper divisors (1426887840).

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

432579840 is a wasteful number, since it uses less digits than its factorization.

432579840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 432579840 is about 20798.5537958773. The cubic root of 432579840 is about 756.2906975343.

The spelling of 432579840 in words is "four hundred thirty-two million, five hundred seventy-nine thousand, eight hundred forty".