4080000 has 160 divisors (see below), whose sum is σ = 14339160. Its totient is φ = 1024000.

The previous prime is 4079989. The next prime is 4080001. The reversal of 4080000 is 804.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4080001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 239992 + ... + 240008.

Almost surely, 2^4080000 is an apocalyptic number.

4080000 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 4080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7169580).

4080000 is an abundant number, since it is smaller than the sum of its proper divisors (10259160).

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

4080000 is an equidigital number, since it uses as much as digits as its factorization.

4080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 4080000 is about 2019.9009876724. The cubic root of 4080000 is about 159.7913948091.

Adding to 4080000 its reverse (804), we get a palindrome (4080804).

It can be divided in two parts, 40 and 80000, that multiplied together give a 5-th power (3200000 = 20⁵).

The spelling of 4080000 in words is "four million, eighty thousand".