4000920 has 128 divisors (see below), whose sum is σ = 14999040. Its totient is φ = 829440.

The previous prime is 4000907. The next prime is 4000937. The reversal of 4000920 is 290004.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 13.

It is a zygodrome in base 13.

It is a self number, because there is not a number n which added to its sum of digits gives 4000920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9024 + ... + 9456.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

Almost surely, 2^4000920 is an apocalyptic number.

4000920 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 4000920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7499520).

4000920 is an abundant number, since it is smaller than the sum of its proper divisors (10998120).

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

4000920 is a wasteful number, since it uses less digits than its factorization.

4000920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 4000920 is about 2000.2299867765. The cubic root of 4000920 is about 158.7522743386.

Adding to 4000920 its reverse (290004), we get a palindrome (4290924).

The spelling of 4000920 in words is "four million, nine hundred twenty", and thus it is an aban number.