284475240 has 384 divisors, whose sum is σ = 1135330560. Its totient is φ = 62705664.

The previous prime is 284475223. The next prime is 284475241. The reversal of 284475240 is 42574482.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 284475195 and 284475204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284475241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2517424 + ... + 2517536.

It is an arithmetic number, because the mean of its divisors is an integer number (2956590).

Almost surely, 2^284475240 is an apocalyptic number.

284475240 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 284475240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567665280).

284475240 is an abundant number, since it is smaller than the sum of its proper divisors (850855320).

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

284475240 is a wasteful number, since it uses less digits than its factorization.

284475240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 284475240 is about 16866.3938054345. The cubic root of 284475240 is about 657.6802861642.

The spelling of 284475240 in words is "two hundred eighty-four million, four hundred seventy-five thousand, two hundred forty".