504361764 has 81 divisors (see below), whose sum is σ = 1352411697. Its totient is φ = 158463648.

The previous prime is 504361757. The next prime is 504361799. The reversal of 504361764 is 467163405.

It is a happy number.

The square root of 504361764 is 22458.

It is a perfect power (a square), and thus also a powerful number.

504361764 is a `hidden beast` number, since 50 + 436 + 176 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 494172900 + 10188864 = 22230^2 + 3192^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2560114 + ... + 2560310.

Almost surely, 2^504361764 is an apocalyptic number.

504361764 is the 22458-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504361764

504361764 is an abundant number, since it is smaller than the sum of its proper divisors (848049933).

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

504361764 is a wasteful number, since it uses less digits than its factorization.

504361764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The cubic root of 504361764 is about 796.0018034016.

Multiplying 504361764 by its sum of digits (36), we get a square (18157023504 = 134748²).

504361764 divided by its sum of digits (36) gives a square (14010049 = 3743²).

The spelling of 504361764 in words is "five hundred four million, three hundred sixty-one thousand, seven hundred sixty-four".