4468632 has 64 divisors (see below), whose sum is σ = 12990720. Its totient is φ = 1254528.

The previous prime is 4468621. The next prime is 4468643. The reversal of 4468632 is 2368644.

It is an interprime number because it is at equal distance from previous prime (4468621) and next prime (4468643).

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

It is a junction number, because it is equal to n+sod(n) for n = 4468593 and 4468602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11058 + ... + 11454.

It is an arithmetic number, because the mean of its divisors is an integer number (202980).

Almost surely, 2^4468632 is an apocalyptic number.

4468632 is a gapful number since it is divisible by the number (42) 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 4468632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6495360).

4468632 is an abundant number, since it is smaller than the sum of its proper divisors (8522088).

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

4468632 is a wasteful number, since it uses less digits than its factorization.

4468632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 476 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 4468632 is about 2113.9139055316. The cubic root of 4468632 is about 164.7118570662.

The spelling of 4468632 in words is "four million, four hundred sixty-eight thousand, six hundred thirty-two".