253059840 has 216 divisors, whose sum is σ = 955635408. Its totient is φ = 61317120.

The previous prime is 253059817. The next prime is 253059847. The reversal of 253059840 is 48950352.

253059840 is a `hidden beast` number, since 25 + 3 + 0 + 598 + 40 = 666.

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 = 253059795 and 253059804.

It is not an unprimeable number, because it can be changed into a prime (253059847) 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, 125722 + ... + 127718.

It is an arithmetic number, because the mean of its divisors is an integer number (4424238).

Almost surely, 2^253059840 is an apocalyptic number.

253059840 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 253059840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477817704).

253059840 is an abundant number, since it is smaller than the sum of its proper divisors (702575568).

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

253059840 is a wasteful number, since it uses less digits than its factorization.

253059840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2035 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 253059840 is about 15907.8546636559. The cubic root of 253059840 is about 632.5202147403.

The spelling of 253059840 in words is "two hundred fifty-three million, fifty-nine thousand, eight hundred forty".