245200032480 has 192 divisors, whose sum is σ = 833778646848. Its totient is φ = 60212920320.

The previous prime is 245200032479. The next prime is 245200032481. The reversal of 245200032480 is 84230002542.

245200032480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (245200032479) and next prime (245200032481).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245200032481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2580372 + ... + 2673708.

It is an arithmetic number, because the mean of its divisors is an integer number (4342597119).

Almost surely, 2^245200032480 is an apocalyptic number.

245200032480 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 245200032480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416889323424).

245200032480 is an abundant number, since it is smaller than the sum of its proper divisors (588578614368).

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

245200032480 is a wasteful number, since it uses less digits than its factorization.

245200032480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93789 (or 93781 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The spelling of 245200032480 in words is "two hundred forty-five billion, two hundred million, thirty-two thousand, four hundred eighty".