4465968 has 80 divisors (see below), whose sum is σ = 13186656. Its totient is φ = 1290240.

The previous prime is 4465963. The next prime is 4465973. The reversal of 4465968 is 8695644.

It is an interprime number because it is at equal distance from previous prime (4465963) and next prime (4465973).

It is not an unprimeable number, because it can be changed into a prime (4465963) 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 15 ways as a sum of consecutive naturals, for example, 10398 + ... + 10818.

Almost surely, 2^4465968 is an apocalyptic number.

4465968 is a gapful number since it is divisible by the number (48) 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 4465968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6593328).

4465968 is an abundant number, since it is smaller than the sum of its proper divisors (8720688).

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

4465968 is a wasteful number, since it uses less digits than its factorization.

4465968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 456 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 4465968 is about 2113.2837007842. The cubic root of 4465968 is about 164.6791192609.

The spelling of 4465968 in words is "four million, four hundred sixty-five thousand, nine hundred sixty-eight".