4000950 has 72 divisors (see below), whose sum is σ = 11403288. Its totient is φ = 1002240.

The previous prime is 4000949. The next prime is 4000951. The reversal of 4000950 is 590004.

It is an interprime number because it is at equal distance from previous prime (4000949) and next prime (4000951).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4000951) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7389 + ... + 7911.

It is an arithmetic number, because the mean of its divisors is an integer number (158379).

Almost surely, 2^4000950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5701644).

4000950 is an abundant number, since it is smaller than the sum of its proper divisors (7402338).

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

4000950 is a wasteful number, since it uses less digits than its factorization.

4000950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 4000950 is about 2000.2374859001. The cubic root of 4000950 is about 158.7526711271.

Adding to 4000950 its reverse (590004), we get a palindrome (4590954).

It can be divided in two parts, 4000 and 950, that added together give a triangular number (4950 = T₉₉).

The spelling of 4000950 in words is "four million, nine hundred fifty", and thus it is an aban number.