245950920 has 96 divisors (see below), whose sum is σ = 804323520. Its totient is φ = 65178240.

The previous prime is 245950907. The next prime is 245950921. The reversal of 245950920 is 29059542.

It is a happy number.

245950920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (245950921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58075 + ... + 62165.

It is an arithmetic number, because the mean of its divisors is an integer number (8378370).

Almost surely, 2^245950920 is an apocalyptic number.

245950920 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 245950920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402161760).

245950920 is an abundant number, since it is smaller than the sum of its proper divisors (558372600).

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

245950920 is a wasteful number, since it uses less digits than its factorization.

245950920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4275 (or 4268 counting only the distinct ones).

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

The square root of 245950920 is about 15682.8224500566. The cubic root of 245950920 is about 626.5409825406.

The spelling of 245950920 in words is "two hundred forty-five million, nine hundred fifty thousand, nine hundred twenty".