253305000 has 240 divisors, whose sum is σ = 925344420. Its totient is φ = 62208000.

The previous prime is 253304993. The next prime is 253305023. The reversal of 253305000 is 503352.

It can be written as a sum of positive squares in 10 ways, for example, as 105390756 + 147914244 = 10266^2 + 12162^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 584784 + ... + 585216.

Almost surely, 2^253305000 is an apocalyptic number.

253305000 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 253305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462672210).

253305000 is an abundant number, since it is smaller than the sum of its proper divisors (672039420).

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

253305000 is a wasteful number, since it uses less digits than its factorization.

253305000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 18.

The square root of 253305000 is about 15915.5584256412. The cubic root of 253305000 is about 632.7244070331.

Adding to 253305000 its reverse (503352), we get a palindrome (253808352).

The spelling of 253305000 in words is "two hundred fifty-three million, three hundred five thousand".