4008400 has 60 divisors (see below), whose sum is σ = 10517184. Its totient is φ = 1456000.

The previous prime is 4008397. The next prime is 4008421. The reversal of 4008400 is 48004.

4008400 = T₃₁₅ + T₃₁₆ + ... + T₃₈₀.

4008400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3945 + ... + 4855.

Almost surely, 2^4008400 is an apocalyptic number.

4008400 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 4008400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5258592).

4008400 is an abundant number, since it is smaller than the sum of its proper divisors (6508784).

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

4008400 is a wasteful number, since it uses less digits than its factorization.

4008400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 4008400 is about 2002.0988986561. The cubic root of 4008400 is about 158.8511455784.

The spelling of 4008400 in words is "four million, eight thousand, four hundred".