245746483200 has 630 divisors, whose sum is σ = 914841271064. Its totient is φ = 65452769280.

The previous prime is 245746483139. The next prime is 245746483217. The reversal of 245746483200 is 2384647542.

It is a happy number.

245746483200 is a `hidden beast` number, since 2 + 4 + 574 + 6 + 48 + 32 + 0 + 0 = 666.

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 polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 298597989 + ... + 298598811.

Almost surely, 2^245746483200 is an apocalyptic number.

245746483200 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 245746483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457420635532).

245746483200 is an abundant number, since it is smaller than the sum of its proper divisors (669094787864).

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

245746483200 is an frugal number, since it uses more digits than its factorization.

245746483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 245746483200 in words is "two hundred forty-five billion, seven hundred forty-six million, four hundred eighty-three thousand, two hundred".