4000360 has 96 divisors (see below), whose sum is σ = 11347560. Its totient is φ = 1257984.

The previous prime is 4000357. The next prime is 4000361. The reversal of 4000360 is 630004.

It can be written as a sum of positive squares in 4 ways, for example, as 2079364 + 1920996 = 1442^2 + 1386^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an Ulam number.

4000360 is a modest number, since divided by 360 gives 40 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 4000360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25402 + ... + 25558.

Almost surely, 2^4000360 is an apocalyptic number.

4000360 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 4000360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5673780).

4000360 is an abundant number, since it is smaller than the sum of its proper divisors (7347200).

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

4000360 is a wasteful number, since it uses less digits than its factorization.

4000360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 4000360 is about 2000.0899979751. The cubic root of 4000360 is about 158.7448672571.

4000360 divided by its sum of digits (13) gives a triangular number (307720 = T₇₈₄).

Adding to 4000360 its reverse (630004), we get a palindrome (4630364).

It can be divided in two parts, 4000 and 360, that multiplied together give a square (1440000 = 1200²).

The spelling of 4000360 in words is "four million, three hundred sixty", and thus it is an aban number.