284025120 has 96 divisors (see below), whose sum is σ = 947334528. Its totient is φ = 71282688.

The previous prime is 284025113. The next prime is 284025139. The reversal of 284025120 is 21520482.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9244 + ... + 25563.

It is an arithmetic number, because the mean of its divisors is an integer number (9868068).

Almost surely, 2^284025120 is an apocalyptic number.

284025120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

284025120 is an abundant number, since it is smaller than the sum of its proper divisors (663309408).

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

284025120 is a wasteful number, since it uses less digits than its factorization.

284025120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34842 (or 34834 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 284025120 is about 16853.0448287542. The cubic root of 284025120 is about 657.3332245304. Note that the first 3 decimals are identical.

The spelling of 284025120 in words is "two hundred eighty-four million, twenty-five thousand, one hundred twenty".