253164420 has 96 divisors (see below), whose sum is σ = 790339200. Its totient is φ = 67277952.

The previous prime is 253164407. The next prime is 253164437. The reversal of 253164420 is 24461352.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 204042 + ... + 205278.

It is an arithmetic number, because the mean of its divisors is an integer number (8232700).

Almost surely, 2^253164420 is an apocalyptic number.

253164420 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 253164420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395169600).

253164420 is an abundant number, since it is smaller than the sum of its proper divisors (537174780).

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

253164420 is a wasteful number, since it uses less digits than its factorization.

253164420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1626 counting only the distinct ones).

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

The square root of 253164420 is about 15911.1413795491. The cubic root of 253164420 is about 632.6073349169.

The spelling of 253164420 in words is "two hundred fifty-three million, one hundred sixty-four thousand, four hundred twenty".