4282920 has 48 divisors (see below), whose sum is σ = 13920660. Its totient is φ = 1142016.

The previous prime is 4282909. The next prime is 4282921. The reversal of 4282920 is 292824.

It can be written as a sum of positive squares in 2 ways, for example, as 3944196 + 338724 = 1986^2 + 582^2 .

It is not an unprimeable number, because it can be changed into a prime (4282921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5589 + ... + 6308.

Almost surely, 2^4282920 is an apocalyptic number.

4282920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4282920 is an abundant number, since it is smaller than the sum of its proper divisors (9637740).

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

4282920 is a wasteful number, since it uses less digits than its factorization.

4282920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11914 (or 11907 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4282920 is about 2069.5216838680. The cubic root of 4282920 is about 162.3977423712.

It can be divided in two parts, 42829 and 20, that added together give a square (42849 = 207²).

The spelling of 4282920 in words is "four million, two hundred eighty-two thousand, nine hundred twenty".