253054000 has 80 divisors (see below), whose sum is σ = 633129120. Its totient is φ = 97708800.

The previous prime is 253053991. The next prime is 253054007. The reversal of 253054000 is 450352.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (253054007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55819 + ... + 60181.

It is an arithmetic number, because the mean of its divisors is an integer number (7914114).

Almost surely, 2^253054000 is an apocalyptic number.

253054000 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 253054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316564560).

253054000 is an abundant number, since it is smaller than the sum of its proper divisors (380075120).

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

253054000 is a wasteful number, since it uses less digits than its factorization.

253054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4415 (or 4399 counting only the distinct ones).

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

The square root of 253054000 is about 15907.6711054761. The cubic root of 253054000 is about 632.5153490315.

The spelling of 253054000 in words is "two hundred fifty-three million, fifty-four thousand".