253041390 has 120 divisors (see below), whose sum is σ = 768168648. Its totient is φ = 57788640.

The previous prime is 253041361. The next prime is 253041401. The reversal of 253041390 is 93140352.

253041390 is a `hidden beast` number, since 2 + 530 + 41 + 3 + 90 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 215505 + ... + 216675.

Almost surely, 2^253041390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253041390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384084324).

253041390 is an abundant number, since it is smaller than the sum of its proper divisors (515127258).

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

253041390 is a wasteful number, since it uses less digits than its factorization.

253041390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1212 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 253041390 is about 15907.2747508805. The cubic root of 253041390 is about 632.5048425111.

The spelling of 253041390 in words is "two hundred fifty-three million, forty-one thousand, three hundred ninety".