504485654400 has 1728 divisors, whose sum is σ = 2285028280080. Its totient is φ = 105035857920.

The previous prime is 504485654399. The next prime is 504485654417. The reversal of 504485654400 is 4456584405.

It is a happy number.

504485654400 is a `hidden beast` number, since 5 + 0 + 4 + 48 + 565 + 4 + 40 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1962979072 + ... + 1962979328.

Almost surely, 2^504485654400 is an apocalyptic number.

504485654400 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 504485654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142514140040).

504485654400 is an abundant number, since it is smaller than the sum of its proper divisors (1780542625680).

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

504485654400 is a wasteful number, since it uses less digits than its factorization.

504485654400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 504485654400 in words is "five hundred four billion, four hundred eighty-five million, six hundred fifty-four thousand, four hundred".