284378040 has 192 divisors, whose sum is σ = 1015428960. Its totient is φ = 71331840.

The previous prime is 284378033. The next prime is 284378047. The reversal of 284378040 is 40873482.

284378040 is a `hidden beast` number, since 284 + 378 + 0 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (284378033) and next prime (284378047).

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 = 284377986 and 284378004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (284378047) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164380 + ... + 166100.

Almost surely, 2^284378040 is an apocalyptic number.

284378040 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 284378040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507714480).

284378040 is an abundant number, since it is smaller than the sum of its proper divisors (731050920).

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

284378040 is a wasteful number, since it uses less digits than its factorization.

284378040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 284378040 is about 16863.5120897161. The cubic root of 284378040 is about 657.6053718459.

The spelling of 284378040 in words is "two hundred eighty-four million, three hundred seventy-eight thousand, forty".