504936432 has 480 divisors, whose sum is σ = 1975873536. Its totient is φ = 116121600.

The previous prime is 504936407. The next prime is 504936433. The reversal of 504936432 is 234639405.

504936432 is a `hidden beast` number, since 5 + 0 + 4 + 9 + 3 + 643 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504936433) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4468408 + ... + 4468520.

Almost surely, 2^504936432 is an apocalyptic number.

504936432 is a gapful number since it is divisible by the number (52) 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 504936432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987936768).

504936432 is an abundant number, since it is smaller than the sum of its proper divisors (1470937104).

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

504936432 is a wasteful number, since it uses less digits than its factorization.

504936432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 504936432 is about 22470.7906402957. The cubic root of 504936432 is about 796.3040091944.

The spelling of 504936432 in words is "five hundred four million, nine hundred thirty-six thousand, four hundred thirty-two".