245406283200 has 1008 divisors, whose sum is σ = 1016950910976. Its totient is φ = 57753907200.

The previous prime is 245406283193. The next prime is 245406283273. The reversal of 245406283200 is 2382604542.

245406283200 is a `hidden beast` number, since 2 + 4 + 5 + 4 + 0 + 628 + 3 + 20 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 116250145 + ... + 116252255.

It is an arithmetic number, because the mean of its divisors is an integer number (1008879872).

Almost surely, 2^245406283200 is an apocalyptic number.

245406283200 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 245406283200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (508475455488).

245406283200 is an abundant number, since it is smaller than the sum of its proper divisors (771544627776).

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

245406283200 is a wasteful number, since it uses less digits than its factorization.

245406283200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2157 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 245406283200 its reverse (2382604542), we get a palindrome (247788887742).

The spelling of 245406283200 in words is "two hundred forty-five billion, four hundred six million, two hundred eighty-three thousand, two hundred".