4065454800 has 900 divisors, whose sum is σ = 17259356268. Its totient is φ = 912384000.

The previous prime is 4065454777. The next prime is 4065454801. The reversal of 4065454800 is 84545604.

4065454800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 346406544 + 3719048256 = 18612^2 + 60984^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4065454801) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 66646770 + ... + 66646830.

Almost surely, 2^4065454800 is an apocalyptic number.

4065454800 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 4065454800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8629678134).

4065454800 is an abundant number, since it is smaller than the sum of its proper divisors (13193901468).

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

4065454800 is a wasteful number, since it uses less digits than its factorization.

4065454800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 4065454800 is about 63760.9190648943. The cubic root of 4065454800 is about 1596.0128327308.

The spelling of 4065454800 in words is "four billion, sixty-five million, four hundred fifty-four thousand, eight hundred".