253998360 has 576 divisors, whose sum is σ = 1120392000. Its totient is φ = 49674240.

The previous prime is 253998359. The next prime is 253998373. The reversal of 253998360 is 63899352.

253998360 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14941072 + ... + 14941088.

It is an arithmetic number, because the mean of its divisors is an integer number (1945125).

Almost surely, 2^253998360 is an apocalyptic number.

253998360 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 253998360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560196000).

253998360 is an abundant number, since it is smaller than the sum of its proper divisors (866393640).

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

253998360 is a wasteful number, since it uses less digits than its factorization.

253998360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 253998360 is about 15937.3259990502. The cubic root of 253998360 is about 633.3011901200.

The spelling of 253998360 in words is "two hundred fifty-three million, nine hundred ninety-eight thousand, three hundred sixty".