4456032 has 96 divisors (see below), whose sum is σ = 14112000. Its totient is φ = 1202688.

The previous prime is 4456007. The next prime is 4456063. The reversal of 4456032 is 2306544.

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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 4455993 and 4456011.

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, 12594 + ... + 12942.

It is an arithmetic number, because the mean of its divisors is an integer number (147000).

Almost surely, 2^4456032 is an apocalyptic number.

4456032 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 4456032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7056000).

4456032 is an abundant number, since it is smaller than the sum of its proper divisors (9655968).

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

4456032 is a wasteful number, since it uses less digits than its factorization.

4456032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 4456032 is about 2110.9315479191. The cubic root of 4456032 is about 164.5569011372.

The spelling of 4456032 in words is "four million, four hundred fifty-six thousand, thirty-two".