253820000 has 240 divisors, whose sum is σ = 747885600. Its totient is φ = 84672000.

The previous prime is 253819999. The next prime is 253820003. The reversal of 253820000 is 28352.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253820003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6859982 + ... + 6860018.

It is an arithmetic number, because the mean of its divisors is an integer number (3116190).

Almost surely, 2^253820000 is an apocalyptic number.

253820000 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 253820000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373942800).

253820000 is an abundant number, since it is smaller than the sum of its proper divisors (494065600).

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

253820000 is an frugal number, since it uses more digits than its factorization.

253820000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 253820000 is about 15931.7293474375. The cubic root of 253820000 is about 633.1529187557.

Adding to 253820000 its reverse (28352), we get a palindrome (253848352).

The spelling of 253820000 in words is "two hundred fifty-three million, eight hundred twenty thousand".