4008000 has 112 divisors (see below), whose sum is σ = 13313664. Its totient is φ = 1062400.

The previous prime is 4007999. The next prime is 4008001. The reversal of 4008000 is 8004.

It is an interprime number because it is at equal distance from previous prime (4007999) and next prime (4008001).

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 not an unprimeable number, because it can be changed into a prime (4008001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23917 + ... + 24083.

It is an arithmetic number, because the mean of its divisors is an integer number (118872).

Almost surely, 2^4008000 is an apocalyptic number.

4008000 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 4008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6656832).

4008000 is an abundant number, since it is smaller than the sum of its proper divisors (9305664).

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

4008000 is a wasteful number, since it uses less digits than its factorization.

4008000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 177 counting only the distinct ones).

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

The square root of 4008000 is about 2001.9990009988. Note that the first 3 decimals coincide. The cubic root of 4008000 is about 158.8458614607.

4008000 divided by its product of nonzero digits (32) gives a triangular number (125250 = T₅₀₀).

It can be divided in two parts, 400 and 8000, that multiplied together give a 5-th power (3200000 = 20⁵).

The spelling of 4008000 in words is "four million, eight thousand".