4064800 has 36 divisors (see below), whose sum is σ = 9925146. Its totient is φ = 1625600.

The previous prime is 4064741. The next prime is 4064807. The reversal of 4064800 is 84604.

It can be written as a sum of positive squares in 3 ways, for example, as 2226064 + 1838736 = 1492^2 + 1356^2 .

It is a super-3 number, since 3×4064800³ (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (4064807) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1741 + ... + 3340.

Almost surely, 2^4064800 is an apocalyptic number.

4064800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4064800 is an abundant number, since it is smaller than the sum of its proper divisors (5860346).

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

4064800 is a wasteful number, since it uses less digits than its factorization.

4064800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5101 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4064800 is about 2016.1349161204. The cubic root of 4064800 is about 159.5927141185.

The spelling of 4064800 in words is "four million, sixty-four thousand, eight hundred".