4297920 has 168 divisors, whose sum is σ = 15404592. Its totient is φ = 1013760.

The previous prime is 4297901. The next prime is 4297927. The reversal of 4297920 is 297924.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (4297927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116142 + ... + 116178.

It is an arithmetic number, because the mean of its divisors is an integer number (91694).

Almost surely, 2^4297920 is an apocalyptic number.

4297920 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 4297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7702296).

4297920 is an abundant number, since it is smaller than the sum of its proper divisors (11106672).

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

4297920 is a wasteful number, since it uses less digits than its factorization.

4297920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 4297920 is about 2073.1425421326. The cubic root of 4297920 is about 162.5871091148.

The spelling of 4297920 in words is "four million, two hundred ninety-seven thousand, nine hundred twenty".