245095920 has 240 divisors, whose sum is σ = 866611200. Its totient is φ = 62000640.

The previous prime is 245095913. The next prime is 245095927. The reversal of 245095920 is 29590542.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (245095913) and next prime (245095927).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245095927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1763211 + ... + 1763349.

It is an arithmetic number, because the mean of its divisors is an integer number (3610880).

Almost surely, 2^245095920 is an apocalyptic number.

245095920 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 245095920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433305600).

245095920 is an abundant number, since it is smaller than the sum of its proper divisors (621515280).

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

245095920 is a wasteful number, since it uses less digits than its factorization.

245095920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 245095920 is about 15655.5395946611. The cubic root of 245095920 is about 625.8141241293.

The spelling of 245095920 in words is "two hundred forty-five million, ninety-five thousand, nine hundred twenty".