253903500 has 144 divisors (see below), whose sum is σ = 848352960. Its totient is φ = 63705600.

The previous prime is 253903493. The next prime is 253903501. The reversal of 253903500 is 5309352.

It is not an unprimeable number, because it can be changed into a prime (253903501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74841 + ... + 78159.

It is an arithmetic number, because the mean of its divisors is an integer number (5891340).

Almost surely, 2^253903500 is an apocalyptic number.

253903500 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 253903500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424176480).

253903500 is an abundant number, since it is smaller than the sum of its proper divisors (594449460).

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

253903500 is a wasteful number, since it uses less digits than its factorization.

253903500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3361 (or 3346 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 253903500 is about 15934.3496886443. The cubic root of 253903500 is about 633.2223412761. Note that the first 3 decimals are identical.

The spelling of 253903500 in words is "two hundred fifty-three million, nine hundred three thousand, five hundred".