4288464 has 60 divisors (see below), whose sum is σ = 12457536. Its totient is φ = 1428192.

The previous prime is 4288457. The next prime is 4288481. The reversal of 4288464 is 4648824.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3337 + ... + 4439.

Almost surely, 2^4288464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4288464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6228768).

4288464 is an abundant number, since it is smaller than the sum of its proper divisors (8169072).

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

4288464 is a wasteful number, since it uses less digits than its factorization.

4288464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1108 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 4288464 is about 2070.8606906308. The cubic root of 4288464 is about 162.4677837515.

The spelling of 4288464 in words is "four million, two hundred eighty-eight thousand, four hundred sixty-four".