504490810982400 has 2160 divisors, whose sum is σ = 2073337702477440. Its totient is φ = 119269490688000.

The previous prime is 504490810982399. The next prime is 504490810982407. The reversal of 504490810982400 is 4289018094405.

It is a happy number.

504490810982400 is a `hidden beast` number, since 5 + 0 + 4 + 490 + 8 + 109 + 8 + 2 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (504490810982407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 204495665967 + ... + 204495668433.

Almost surely, 2^{504490810982400} is an apocalyptic number.

504490810982400 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 504490810982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036668851238720).

504490810982400 is an abundant number, since it is smaller than the sum of its proper divisors (1568846891495040).

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

504490810982400 is a wasteful number, since it uses less digits than its factorization.

504490810982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607 (or 2529 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 504490810982400 in words is "five hundred four trillion, four hundred ninety billion, eight hundred ten million, nine hundred eighty-two thousand, four hundred".