253149120 has 336 divisors, whose sum is σ = 1031808960. Its totient is φ = 55738368.

The previous prime is 253149077. The next prime is 253149133. The reversal of 253149120 is 21941352.

253149120 is a `hidden beast` number, since 2 + 531 + 4 + 9 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 584424 + ... + 584856.

It is an arithmetic number, because the mean of its divisors is an integer number (3070860).

Almost surely, 2^253149120 is an apocalyptic number.

253149120 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 253149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515904480).

253149120 is an abundant number, since it is smaller than the sum of its proper divisors (778659840).

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

253149120 is a wasteful number, since it uses less digits than its factorization.

253149120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 253149120 is about 15910.6605771099. The cubic root of 253149120 is about 632.5945907785.

The spelling of 253149120 in words is "two hundred fifty-three million, one hundred forty-nine thousand, one hundred twenty".