253897920 has 168 divisors, whose sum is σ = 911510496. Its totient is φ = 64745472.

The previous prime is 253897909. The next prime is 253897927. The reversal of 253897920 is 29798352.

253897920 is a `hidden beast` number, since 2 + 538 + 97 + 9 + 20 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (253897927) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 64324 + ... + 68156.

Almost surely, 2^253897920 is an apocalyptic number.

253897920 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 253897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455755248).

253897920 is an abundant number, since it is smaller than the sum of its proper divisors (657612576).

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

253897920 is a wasteful number, since it uses less digits than its factorization.

253897920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3879 (or 3866 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 253897920 is about 15934.1745942487. The cubic root of 253897920 is about 633.2177024972.

The spelling of 253897920 in words is "two hundred fifty-three million, eight hundred ninety-seven thousand, nine hundred twenty".