253287120 has 40 divisors (see below), whose sum is σ = 785190816. Its totient is φ = 67543168.

The previous prime is 253287113. The next prime is 253287137. The reversal of 253287120 is 21782352.

253287120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 527442 + ... + 527921.

Almost surely, 2^253287120 is an apocalyptic number.

253287120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253287120 is an abundant number, since it is smaller than the sum of its proper divisors (531903696).

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

253287120 is a wasteful number, since it uses less digits than its factorization.

253287120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055379 (or 1055373 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 253287120 is about 15914.9967012249. The cubic root of 253287120 is about 632.7095193436.

The spelling of 253287120 in words is "two hundred fifty-three million, two hundred eighty-seven thousand, one hundred twenty".