4287920 has 160 divisors (see below), whose sum is σ = 13332480. Its totient is φ = 1244160.

The previous prime is 4287919. The next prime is 4287923. The reversal of 4287920 is 297824.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (4287923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138305 + ... + 138335.

It is an arithmetic number, because the mean of its divisors is an integer number (83328).

Almost surely, 2^4287920 is an apocalyptic number.

4287920 is a gapful number since it is divisible by the number (40) 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 4287920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6666240).

4287920 is an abundant number, since it is smaller than the sum of its proper divisors (9044560).

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

4287920 is a wasteful number, since it uses less digits than its factorization.

4287920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 4287920 is about 2070.7293401118. The cubic root of 4287920 is about 162.4609136762.

The spelling of 4287920 in words is "four million, two hundred eighty-seven thousand, nine hundred twenty".