245420824320 has 504 divisors, whose sum is σ = 1007325273696. Its totient is φ = 56094695424.

The previous prime is 245420824303. The next prime is 245420824339. The reversal of 245420824320 is 23428024542.

245420824320 is a `hidden beast` number, since 2 + 4 + 542 + 0 + 82 + 4 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 55 ways as a sum of consecutive naturals, for example, 6513054 + ... + 6550626.

Almost surely, 2^245420824320 is an apocalyptic number.

245420824320 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 245420824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503662636848).

245420824320 is an abundant number, since it is smaller than the sum of its proper divisors (761904449376).

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

245420824320 is an frugal number, since it uses more digits than its factorization.

245420824320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37619 (or 37590 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 245420824320 its reverse (23428024542), we get a palindrome (268848848862).

The spelling of 245420824320 in words is "two hundred forty-five billion, four hundred twenty million, eight hundred twenty-four thousand, three hundred twenty".