253851840 has 224 divisors, whose sum is σ = 977310720. Its totient is φ = 61516800.

The previous prime is 253851823. The next prime is 253851863. The reversal of 253851840 is 48158352.

It is a happy number.

It is a super-4 number, since 4×253851840⁴ (a number of 35 digits) contains 4444 as substring.

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 = 253851795 and 253851804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 93705 + ... + 96375.

Almost surely, 2^253851840 is an apocalyptic number.

253851840 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 253851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488655360).

253851840 is an abundant number, since it is smaller than the sum of its proper divisors (723458880).

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

253851840 is a wasteful number, since it uses less digits than its factorization.

253851840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708 (or 2692 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 253851840 is about 15932.7285798761. The cubic root of 253851840 is about 633.1793925640.

It can be divided in two parts, 25385 and 1840, that added together give a square (27225 = 165²).

The spelling of 253851840 in words is "two hundred fifty-three million, eight hundred fifty-one thousand, eight hundred forty".