253456000 has 256 divisors, whose sum is σ = 753592320. Its totient is φ = 82944000.

The previous prime is 253455997. The next prime is 253456001. The reversal of 253456000 is 654352.

253456000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (253456001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3471964 + ... + 3472036.

It is an arithmetic number, because the mean of its divisors is an integer number (2943720).

Almost surely, 2^253456000 is an apocalyptic number.

253456000 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 253456000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376796160).

253456000 is an abundant number, since it is smaller than the sum of its proper divisors (500136320).

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

253456000 is an equidigital number, since it uses as much as digits as its factorization.

253456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 253456000 is about 15920.3015046826. The cubic root of 253456000 is about 632.8501084695.

The spelling of 253456000 in words is "two hundred fifty-three million, four hundred fifty-six thousand".