253251414 has 64 divisors (see below), whose sum is σ = 641753280. Its totient is φ = 73336320.

The previous prime is 253251409. The next prime is 253251433. The reversal of 253251414 is 414152352.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1324 + ... + 22544.

It is an arithmetic number, because the mean of its divisors is an integer number (10027395).

Almost surely, 2^253251414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253251414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320876640).

253251414 is an abundant number, since it is smaller than the sum of its proper divisors (388501866).

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

253251414 is a wasteful number, since it uses less digits than its factorization.

253251414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21262 (or 21256 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 253251414 is about 15913.8748895421. The cubic root of 253251414 is about 632.6797868306.

The spelling of 253251414 in words is "two hundred fifty-three million, two hundred fifty-one thousand, four hundred fourteen".