253203048 has 96 divisors (see below), whose sum is σ = 798595200. Its totient is φ = 70971264.

The previous prime is 253203047. The next prime is 253203157. The reversal of 253203048 is 840302352.

253203048 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×253203048² = 128223567032980608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (253203047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21973 + ... + 31451.

It is an arithmetic number, because the mean of its divisors is an integer number (8318700).

Almost surely, 2^253203048 is an apocalyptic number.

253203048 is a gapful number since it is divisible by the number (28) 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 253203048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399297600).

253203048 is an abundant number, since it is smaller than the sum of its proper divisors (545392152).

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

253203048 is a wasteful number, since it uses less digits than its factorization.

253203048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9551 (or 9544 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 253203048 is about 15912.3551996554. The cubic root of 253203048 is about 632.6395078336.

The spelling of 253203048 in words is "two hundred fifty-three million, two hundred three thousand, forty-eight".