504397670400 has 1728 divisors, whose sum is σ = 2140962969600. Its totient is φ = 115935805440.

The previous prime is 504397670327. The next prime is 504397670407. The reversal of 504397670400 is 4076793405.

504397670400 is a `hidden beast` number, since 50 + 43 + 97 + 6 + 70 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is not an unprimeable number, because it can be changed into a prime (504397670407) 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, 3971635137 + ... + 3971635263.

It is an arithmetic number, because the mean of its divisors is an integer number (1238983200).

Almost surely, 2^504397670400 is an apocalyptic number.

504397670400 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 504397670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070481484800).

504397670400 is an abundant number, since it is smaller than the sum of its proper divisors (1636565299200).

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

504397670400 is a wasteful number, since it uses less digits than its factorization.

504397670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 504397670400 in words is "five hundred four billion, three hundred ninety-seven million, six hundred seventy thousand, four hundred".