4013800 has 96 divisors (see below), whose sum is σ = 11070720. Its totient is φ = 1324800.

The previous prime is 4013783. The next prime is 4013827. The reversal of 4013800 is 83104.

It is a super-2 number, since 2×4013800² = 32221180880000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65770 + ... + 65830.

It is an arithmetic number, because the mean of its divisors is an integer number (115320).

Almost surely, 2^4013800 is an apocalyptic number.

4013800 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 4013800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5535360).

4013800 is an abundant number, since it is smaller than the sum of its proper divisors (7056920).

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

4013800 is a wasteful number, since it uses less digits than its factorization.

4013800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4013800 is about 2003.4470294969. The cubic root of 4013800 is about 158.9224467855.

Adding to 4013800 its reverse (83104), we get a palindrome (4096904).

The spelling of 4013800 in words is "four million, thirteen thousand, eight hundred".