245317892400 has 1080 divisors, whose sum is σ = 1033902290304. Its totient is φ = 53648179200.

The previous prime is 245317892363. The next prime is 245317892441. The reversal of 245317892400 is 4298713542.

245317892400 is a `hidden beast` number, since 2 + 4 + 531 + 78 + 9 + 2 + 40 + 0 = 666.

245317892400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 617929002 + ... + 617929398.

Almost surely, 2^245317892400 is an apocalyptic number.

245317892400 is a gapful number since it is divisible by the number (20) 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 245317892400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516951145152).

245317892400 is an abundant number, since it is smaller than the sum of its proper divisors (788584397904).

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

245317892400 is a wasteful number, since it uses less digits than its factorization.

245317892400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 579 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 245317892400 in words is "two hundred forty-five billion, three hundred seventeen million, eight hundred ninety-two thousand, four hundred".