4282992 has 90 divisors (see below), whose sum is σ = 13966368. Its totient is φ = 1221696.

The previous prime is 4282979. The next prime is 4283017. The reversal of 4282992 is 2992824.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6753 + ... + 7359.

Almost surely, 2^4282992 is an apocalyptic number.

4282992 is a gapful number since it is divisible by the number (42) 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 4282992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6983184).

4282992 is an abundant number, since it is smaller than the sum of its proper divisors (9683376).

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

4282992 is a wasteful number, since it uses less digits than its factorization.

4282992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 619 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 4282992 is about 2069.5390791188. The cubic root of 4282992 is about 162.3986523868.

The spelling of 4282992 in words is "four million, two hundred eighty-two thousand, nine hundred ninety-two".