504364464 has 120 divisors (see below), whose sum is σ = 1460465552. Its totient is φ = 162362880.

The previous prime is 504364463. The next prime is 504364507. The reversal of 504364464 is 464463405.

504364464 is a `hidden beast` number, since 5 + 0 + 4 + 3 + 644 + 6 + 4 = 666.

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 (504364463) 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, 964107 + ... + 964629.

Almost surely, 2^504364464 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 504364464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730232776).

504364464 is an abundant number, since it is smaller than the sum of its proper divisors (956101088).

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

504364464 is a wasteful number, since it uses less digits than its factorization.

504364464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 746 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The square root of 504364464 is about 22458.0601121290. The cubic root of 504364464 is about 796.0032238113.

The spelling of 504364464 in words is "five hundred four million, three hundred sixty-four thousand, four hundred sixty-four".