4061400 has 96 divisors (see below), whose sum is σ = 14403840. Its totient is φ = 927360.

The previous prime is 4061381. The next prime is 4061401. The reversal of 4061400 is 41604.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4061400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4061401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3717 + ... + 4683.

It is an arithmetic number, because the mean of its divisors is an integer number (150040).

Almost surely, 2^4061400 is an apocalyptic number.

4061400 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 4061400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7201920).

4061400 is an abundant number, since it is smaller than the sum of its proper divisors (10342440).

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

4061400 is a wasteful number, since it uses less digits than its factorization.

4061400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 4061400 is about 2015.2915421844. The cubic root of 4061400 is about 159.5482046233.

The spelling of 4061400 in words is "four million, sixty-one thousand, four hundred".