4012400 has 60 divisors (see below), whose sum is σ = 11024592. Its totient is φ = 1374720.

The previous prime is 4012381. The next prime is 4012441. The reversal of 4012400 is 42104.

4012400 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

4012400 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2084 + ... + 3516.

Almost surely, 2^4012400 is an apocalyptic number.

4012400 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 4012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5512296).

4012400 is an abundant number, since it is smaller than the sum of its proper divisors (7012192).

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

4012400 is a wasteful number, since it uses less digits than its factorization.

4012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1447 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 4012400 is about 2003.0976012167. The cubic root of 4012400 is about 158.9039674310.

Adding to 4012400 its reverse (42104), we get a palindrome (4054504).

The spelling of 4012400 in words is "four million, twelve thousand, four hundred".