245209920 has 112 divisors (see below), whose sum is σ = 789432000. Its totient is φ = 64475136.

The previous prime is 245209919. The next prime is 245209927. The reversal of 245209920 is 29902542.

245209920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245209927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68331 + ... + 71829.

It is an arithmetic number, because the mean of its divisors is an integer number (7048500).

Almost surely, 2^245209920 is an apocalyptic number.

245209920 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 245209920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394716000).

245209920 is an abundant number, since it is smaller than the sum of its proper divisors (544222080).

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

245209920 is a wasteful number, since it uses less digits than its factorization.

245209920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3592 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 245209920 is about 15659.1800551625. The cubic root of 245209920 is about 625.9111361507.

The spelling of 245209920 in words is "two hundred forty-five million, two hundred nine thousand, nine hundred twenty".