4262880 has 96 divisors (see below), whose sum is σ = 13716864. Its totient is φ = 1112576.

The previous prime is 4262879. The next prime is 4262887. The reversal of 4262880 is 882624.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4262887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39787 + ... + 39893.

It is an arithmetic number, because the mean of its divisors is an integer number (142884).

Almost surely, 2^4262880 is an apocalyptic number.

4262880 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 4262880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6858432).

4262880 is an abundant number, since it is smaller than the sum of its proper divisors (9453984).

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

4262880 is a wasteful number, since it uses less digits than its factorization.

4262880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 4262880 is about 2064.6743084564. The cubic root of 4262880 is about 162.1440571979.

The spelling of 4262880 in words is "four million, two hundred sixty-two thousand, eight hundred eighty".