4013400 has 48 divisors (see below), whose sum is σ = 12443400. Its totient is φ = 1070080.

The previous prime is 4013369. The next prime is 4013407. The reversal of 4013400 is 43104.

It is a super-2 number, since 2×4013400² = 32214759120000, which contains 22 as substring.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4013407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2745 + ... + 3944.

Almost surely, 2^4013400 is an apocalyptic number.

4013400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4013400 is an abundant number, since it is smaller than the sum of its proper divisors (8430000).

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

4013400 is a wasteful number, since it uses less digits than its factorization.

4013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6708 (or 6699 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 4013400 is about 2003.3471990646. The cubic root of 4013400 is about 158.9171674084.

Adding to 4013400 its reverse (43104), we get a palindrome (4056504).

The spelling of 4013400 in words is "four million, thirteen thousand, four hundred".