4078360 has 128 divisors (see below), whose sum is σ = 11612160. Its totient is φ = 1267200.

The previous prime is 4078343. The next prime is 4078363. The reversal of 4078360 is 638704.

4078360 = 23² + 24² + ... + 230².

It is a super-3 number, since 3×4078360³ (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4078363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131545 + ... + 131575.

It is an arithmetic number, because the mean of its divisors is an integer number (90720).

Almost surely, 2^4078360 is an apocalyptic number.

4078360 is a gapful number since it is divisible by the number (40) 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 4078360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5806080).

4078360 is an abundant number, since it is smaller than the sum of its proper divisors (7533800).

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

4078360 is a wasteful number, since it uses less digits than its factorization.

4078360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 4078360 is about 2019.4949863765. The cubic root of 4078360 is about 159.7699819817.

It can be divided in two parts, 40 and 78360, that added together give a square (78400 = 280²).

The spelling of 4078360 in words is "four million, seventy-eight thousand, three hundred sixty".