432563536 has 40 divisors (see below), whose sum is σ = 869397480. Its totient is φ = 208244736.

The previous prime is 432563497. The next prime is 432563543. The reversal of 432563536 is 635365234.

It can be written as a sum of positive squares in 4 ways, for example, as 2250000 + 430313536 = 1500^2 + 20744^2 .

It is a super-2 number, since 2×432563536² = 374222425353646592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 432563495 and 432563504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199836 + ... + 201988.

It is an arithmetic number, because the mean of its divisors is an integer number (21734937).

Almost surely, 2^432563536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 432563536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434698740).

432563536 is an abundant number, since it is smaller than the sum of its proper divisors (436833944).

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

432563536 is a wasteful number, since it uses less digits than its factorization.

432563536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623 (or 2617 counting only the distinct ones).

The product of its digits is 194400, while the sum is 37.

The square root of 432563536 is about 20798.1618418552. The cubic root of 432563536 is about 756.2811958445.

The spelling of 432563536 in words is "four hundred thirty-two million, five hundred sixty-three thousand, five hundred thirty-six".