4064400 has 90 divisors (see below), whose sum is σ = 14117090. Its totient is φ = 1082880.

The previous prime is 4064393. The next prime is 4064407. The reversal of 4064400 is 44604.

4064400 is nontrivially palindromic in base 7.

It is an interprime number because it is at equal distance from previous prime (4064393) and next prime (4064407).

It can be written as a sum of positive squares in 3 ways, for example, as 144 + 4064256 = 12^2 + 2016^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 15.

It is a zygodrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (4064407) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3036 + ... + 4164.

Almost surely, 2^4064400 is an apocalyptic number.

4064400 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 4064400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7058545).

4064400 is an abundant number, since it is smaller than the sum of its proper divisors (10052690).

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

4064400 is a wasteful number, since it uses less digits than its factorization.

4064400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4064400 is about 2016.0357139694. The cubic root of 4064400 is about 159.5874789959.

The spelling of 4064400 in words is "four million, sixty-four thousand, four hundred".