253405000 has 80 divisors (see below), whose sum is σ = 604494000. Its totient is φ = 99528000.

The previous prime is 253404979. The next prime is 253405001. The reversal of 253405000 is 504352.

It is a happy number.

253405000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (253405001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 294571 + ... + 295429.

It is an arithmetic number, because the mean of its divisors is an integer number (7556175).

Almost surely, 2^253405000 is an apocalyptic number.

253405000 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 253405000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302247000).

253405000 is an abundant number, since it is smaller than the sum of its proper divisors (351089000).

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

253405000 is an equidigital number, since it uses as much as digits as its factorization.

253405000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 19.

The square root of 253405000 is about 15918.6996956410. The cubic root of 253405000 is about 632.8076586024.

Adding to 253405000 its reverse (504352), we get a palindrome (253909352).

The spelling of 253405000 in words is "two hundred fifty-three million, four hundred five thousand".