4078032 has 80 divisors (see below), whose sum is σ = 12320640. Its totient is φ = 1138176.

The previous prime is 4078031. The next prime is 4078043. The reversal of 4078032 is 2308704.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4077993 and 4078011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4078031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17694 + ... + 17922.

It is an arithmetic number, because the mean of its divisors is an integer number (154008).

Almost surely, 2^4078032 is an apocalyptic number.

4078032 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 4078032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6160320).

4078032 is an abundant number, since it is smaller than the sum of its proper divisors (8242608).

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

4078032 is a wasteful number, since it uses less digits than its factorization.

4078032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 4078032 is about 2019.4137763222. The cubic root of 4078032 is about 159.7656987274.

The spelling of 4078032 in words is "four million, seventy-eight thousand, thirty-two".