245329920 has 312 divisors, whose sum is σ = 935346672. Its totient is φ = 59473920.

The previous prime is 245329913. The next prime is 245329949. The reversal of 245329920 is 29923542.

245329920 is a `hidden beast` number, since 245 + 329 + 92 + 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 23 ways as a sum of consecutive naturals, for example, 22302715 + ... + 22302725.

It is an arithmetic number, because the mean of its divisors is an integer number (2997906).

Almost surely, 2^245329920 is an apocalyptic number.

245329920 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 245329920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467673336).

245329920 is an abundant number, since it is smaller than the sum of its proper divisors (690016752).

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

245329920 is an equidigital number, since it uses as much as digits as its factorization.

245329920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 245329920 is about 15663.0112047460. The cubic root of 245329920 is about 626.0132215903.

The spelling of 245329920 in words is "two hundred forty-five million, three hundred twenty-nine thousand, nine hundred twenty".