504678720 has 448 divisors, whose sum is σ = 2027773440. Its totient is φ = 103514112.

The previous prime is 504678697. The next prime is 504678749. The reversal of 504678720 is 27876405.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×504678720² = 509401220841676800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4630026 + ... + 4630134.

It is an arithmetic number, because the mean of its divisors is an integer number (4526280).

Almost surely, 2^504678720 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 504678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013886720).

504678720 is an abundant number, since it is smaller than the sum of its proper divisors (1523094720).

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

504678720 is a wasteful number, since it uses less digits than its factorization.

504678720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 504678720 is about 22465.0555307571. The cubic root of 504678720 is about 796.1685122559.

The spelling of 504678720 in words is "five hundred four million, six hundred seventy-eight thousand, seven hundred twenty".