245403444960 has 432 divisors, whose sum is σ = 897775062912. Its totient is φ = 63321523200.

The previous prime is 245403444917. The next prime is 245403444961. The reversal of 245403444960 is 69444304542.

245403444960 is a `hidden beast` number, since 2 + 4 + 540 + 3 + 4 + 4 + 49 + 60 = 666.

245403444960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245403444961) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 32538790 + ... + 32546330.

It is an arithmetic number, because the mean of its divisors is an integer number (2078183016).

Almost surely, 2^245403444960 is an apocalyptic number.

245403444960 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 245403444960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448887531456).

245403444960 is an abundant number, since it is smaller than the sum of its proper divisors (652371617952).

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

245403444960 is an frugal number, since it uses more digits than its factorization.

245403444960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7611 (or 7582 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 45.

The spelling of 245403444960 in words is "two hundred forty-five billion, four hundred three million, four hundred forty-four thousand, nine hundred sixty".