253345950 has 288 divisors, whose sum is σ = 831946752. Its totient is φ = 54432000.

The previous prime is 253345949. The next prime is 253345973. The reversal of 253345950 is 59543352.

253345950 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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1994787 + ... + 1994913.

It is an arithmetic number, because the mean of its divisors is an integer number (2888704).

Almost surely, 2^253345950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253345950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415973376).

253345950 is an abundant number, since it is smaller than the sum of its proper divisors (578600802).

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

253345950 is a wasteful number, since it uses less digits than its factorization.

253345950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 253345950 is about 15916.8448506606. The cubic root of 253345950 is about 632.7585011994.

The spelling of 253345950 in words is "two hundred fifty-three million, three hundred forty-five thousand, nine hundred fifty".