4160400 has 60 divisors (see below), whose sum is σ = 13330992. Its totient is φ = 1109120.

The previous prime is 4160399. The next prime is 4160407. The reversal of 4160400 is 40614.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4160400.

It is not an unprimeable number, because it can be changed into a prime (4160407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 534 + ... + 2933.

Almost surely, 2^4160400 is an apocalyptic number.

4160400 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 4160400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6665496).

4160400 is an abundant number, since it is smaller than the sum of its proper divisors (9170592).

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

4160400 is a wasteful number, since it uses less digits than its factorization.

4160400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488 (or 3477 counting only the distinct ones).

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

The square root of 4160400 is about 2039.7058611476. The cubic root of 4160400 is about 160.8341849550.

It can be divided in two parts, 4160 and 400, that added together give a triangular number (4560 = T₉₅).

The spelling of 4160400 in words is "four million, one hundred sixty thousand, four hundred".