253464000 has 224 divisors, whose sum is σ = 855878400. Its totient is φ = 66073600.

The previous prime is 253463993. The next prime is 253464011. The reversal of 253464000 is 464352.

253464000 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 (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1415911 + ... + 1416089.

Almost surely, 2^253464000 is an apocalyptic number.

253464000 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 253464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427939200).

253464000 is an abundant number, since it is smaller than the sum of its proper divisors (602414400).

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

253464000 is a wasteful number, since it uses less digits than its factorization.

253464000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 253464000 is about 15920.5527542231. The cubic root of 253464000 is about 632.8567667555.

The spelling of 253464000 in words is "two hundred fifty-three million, four hundred sixty-four thousand".