4282880 has 80 divisors (see below), whose sum is σ = 11784960. Its totient is φ = 1462272.

The previous prime is 4282879. The next prime is 4282897. The reversal of 4282880 is 882824.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×4282880² = 36686122188800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17801 + ... + 18039.

It is an arithmetic number, because the mean of its divisors is an integer number (147312).

Almost surely, 2^4282880 is an apocalyptic number.

4282880 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 4282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5892480).

4282880 is an abundant number, since it is smaller than the sum of its proper divisors (7502080).

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

4282880 is an equidigital number, since it uses as much as digits as its factorization.

4282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

The square root of 4282880 is about 2069.5120197766. The cubic root of 4282880 is about 162.3972368025.

The spelling of 4282880 in words is "four million, two hundred eighty-two thousand, eight hundred eighty".