504672000 has 288 divisors, whose sum is σ = 1918285824. Its totient is φ = 115200000.

The previous prime is 504671963. The next prime is 504672001. The reversal of 504672000 is 276405.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504672001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671625 + ... + 672375.

Almost surely, 2^504672000 is an apocalyptic number.

504672000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (959142912).

504672000 is an abundant number, since it is smaller than the sum of its proper divisors (1413613824).

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

504672000 is an equidigital number, since it uses as much as digits as its factorization.

504672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 504672000 is about 22464.9059646374. The cubic root of 504672000 is about 796.1649784723.

The spelling of 504672000 in words is "five hundred four million, six hundred seventy-two thousand".