253890144 has 72 divisors (see below), whose sum is σ = 724887072. Its totient is φ = 84291840.

The previous prime is 253890139. The next prime is 253890151. The reversal of 253890144 is 441098352.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 253890099 and 253890108.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 76422 + ... + 79674.

It is an arithmetic number, because the mean of its divisors is an integer number (10067876).

Almost surely, 2^253890144 is an apocalyptic number.

253890144 is a gapful number since it is divisible by the number (24) 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 253890144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362443536).

253890144 is an abundant number, since it is smaller than the sum of its proper divisors (470996928).

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

253890144 is a wasteful number, since it uses less digits than its factorization.

253890144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540 (or 3529 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 253890144 is about 15933.9305885271. The cubic root of 253890144 is about 633.2112380211.

The spelling of 253890144 in words is "two hundred fifty-three million, eight hundred ninety thousand, one hundred forty-four".