253362450 has 96 divisors (see below), whose sum is σ = 701597952. Its totient is φ = 59976000.

The previous prime is 253362449. The next prime is 253362451. The reversal of 253362450 is 54263352.

It is an interprime number because it is at equal distance from previous prime (253362449) and next prime (253362451).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (253362451) 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, 69165 + ... + 72735.

It is an arithmetic number, because the mean of its divisors is an integer number (7308312).

Almost surely, 2^253362450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253362450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350798976).

253362450 is an abundant number, since it is smaller than the sum of its proper divisors (448235502).

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

253362450 is a wasteful number, since it uses less digits than its factorization.

253362450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3640 (or 3635 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 253362450 is about 15917.3631610264. The cubic root of 253362450 is about 632.7722377371.

The spelling of 253362450 in words is "two hundred fifty-three million, three hundred sixty-two thousand, four hundred fifty".