501303398400 has 1404 divisors, whose sum is σ = 2214966086892. Its totient is φ = 107678269440.

The previous prime is 501303398339. The next prime is 501303398527. The reversal of 501303398400 is 4893303105.

501303398400 is a `hidden beast` number, since 5 + 0 + 130 + 33 + 98 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9105739776 + 492197658624 = 95424^2 + 701568^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 767692474 + ... + 767693126.

It is an arithmetic number, because the mean of its divisors is an integer number (1577611173).

Almost surely, 2^501303398400 is an apocalyptic number.

501303398400 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 501303398400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1107483043446).

501303398400 is an abundant number, since it is smaller than the sum of its proper divisors (1713662688492).

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

501303398400 is a wasteful number, since it uses less digits than its factorization.

501303398400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 724 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 501303398400 in words is "five hundred one billion, three hundred three million, three hundred ninety-eight thousand, four hundred".