253822464 has 320 divisors, whose sum is σ = 893038080. Its totient is φ = 69672960.

The previous prime is 253822441. The next prime is 253822469. The reversal of 253822464 is 464228352.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253822469) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4160994 + ... + 4161054.

It is an arithmetic number, because the mean of its divisors is an integer number (2790744).

Almost surely, 2^253822464 is an apocalyptic number.

253822464 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 253822464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446519040).

253822464 is an abundant number, since it is smaller than the sum of its proper divisors (639215616).

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

253822464 is an equidigital number, since it uses as much as digits as its factorization.

253822464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 116 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 253822464 is about 15931.8066772102. The cubic root of 253822464 is about 633.1549675616.

The spelling of 253822464 in words is "two hundred fifty-three million, eight hundred twenty-two thousand, four hundred sixty-four".