245797040870400 has 2112 divisors, whose sum is σ = 897405848064000. Its totient is φ = 59119828992000.

The previous prime is 245797040870383. The next prime is 245797040870449. The reversal of 245797040870400 is 4078040797542.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 570294758185 + ... + 570294758615.

It is an arithmetic number, because the mean of its divisors is an integer number (424908072000).

Almost surely, 2^{245797040870400} is an apocalyptic number.

245797040870400 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 245797040870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448702924032000).

245797040870400 is an abundant number, since it is smaller than the sum of its proper divisors (651608807193600).

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

245797040870400 is a wasteful number, since it uses less digits than its factorization.

245797040870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 15805440, while the sum is 57.

The spelling of 245797040870400 in words is "two hundred forty-five trillion, seven hundred ninety-seven billion, forty million, eight hundred seventy thousand, four hundred".