504381672 has 96 divisors (see below), whose sum is σ = 1422799560. Its totient is φ = 161280000.

The previous prime is 504381671. The next prime is 504381707. The reversal of 504381672 is 276183405.

504381672 is a `hidden beast` number, since 504 + 3 + 81 + 6 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 160427556 + 343954116 = 12666^2 + 18546^2 .

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

It is not an unprimeable number, because it can be changed into a prime (504381671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178672 + ... + 181472.

Almost surely, 2^504381672 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 504381672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711399780).

504381672 is an abundant number, since it is smaller than the sum of its proper divisors (918417888).

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

504381672 is a wasteful number, since it uses less digits than its factorization.

504381672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2915 (or 2908 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 504381672 is about 22458.4432229841. The cubic root of 504381672 is about 796.0122764367.

The spelling of 504381672 in words is "five hundred four million, three hundred eighty-one thousand, six hundred seventy-two".