4002400 has 36 divisors (see below), whose sum is σ = 9772812. Its totient is φ = 1600640.

The previous prime is 4002389. The next prime is 4002403. The reversal of 4002400 is 42004.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4002403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1702 + ... + 3301.

It is an arithmetic number, because the mean of its divisors is an integer number (271467).

Almost surely, 2^4002400 is an apocalyptic number.

4002400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4002400 is an abundant number, since it is smaller than the sum of its proper divisors (5770412).

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

4002400 is a wasteful number, since it uses less digits than its factorization.

4002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5023 (or 5010 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 4002400 is about 2000.5999100270. The cubic root of 4002400 is about 158.7718468704.

Adding to 4002400 its reverse (42004), we get a palindrome (4044404).

The spelling of 4002400 in words is "four million, two thousand, four hundred".