253823040 has 168 divisors, whose sum is σ = 901525248. Its totient is φ = 65479680.

The previous prime is 253822979. The next prime is 253823057. The reversal of 253823040 is 40328352.

It is a super-2 number, since 2×253823040² = 128852271269683200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 253822995 and 253823013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87859 + ... + 90701.

Almost surely, 2^253823040 is an apocalyptic number.

253823040 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 253823040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450762624).

253823040 is an abundant number, since it is smaller than the sum of its proper divisors (647702208).

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

253823040 is a wasteful number, since it uses less digits than its factorization.

253823040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2897 (or 2884 counting only the distinct ones).

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

The square root of 253823040 is about 15931.8247542458. The cubic root of 253823040 is about 633.1554465014.

The spelling of 253823040 in words is "two hundred fifty-three million, eight hundred twenty-three thousand, forty".