1800004464 has 80 divisors (see below), whose sum is σ = 5193690400. Its totient is φ = 596865024.

The previous prime is 1800004433. The next prime is 1800004499. The reversal of 1800004464 is 4644000081.

1800004464 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72582 + ... + 94170.

It is an arithmetic number, because the mean of its divisors is an integer number (64921130).

Almost surely, 2^1800004464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1800004464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596845200).

1800004464 is an abundant number, since it is smaller than the sum of its proper divisors (3393685936).

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

1800004464 is a wasteful number, since it uses less digits than its factorization.

1800004464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21799 (or 21787 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 1800004464 is about 42426.4594799048. The cubic root of 1800004464 is about 1216.4414047046.

The spelling of 1800004464 in words is "one billion, eight hundred million, four thousand, four hundred sixty-four".