504385920 has 384 divisors, whose sum is σ = 1916416800. Its totient is φ = 125337600.

The previous prime is 504385919. The next prime is 504385927. The reversal of 504385920 is 29583405.

It is a tau number, because it is divible by the number of its divisors (384).

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 (504385927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4993870 + ... + 4993970.

Almost surely, 2^504385920 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 504385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (958208400).

504385920 is an abundant number, since it is smaller than the sum of its proper divisors (1412030880).

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

504385920 is a wasteful number, since it uses less digits than its factorization.

504385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 504385920 is about 22458.5377974613. The cubic root of 504385920 is about 796.0145111535.

The spelling of 504385920 in words is "five hundred four million, three hundred eighty-five thousand, nine hundred twenty".