1864300480 has 112 divisors (see below), whose sum is σ = 5091964416. Its totient is φ = 636871680.

The previous prime is 1864300457. The next prime is 1864300481. The reversal of 1864300480 is 840034681.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1864300481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 686325 + ... + 689035.

It is an arithmetic number, because the mean of its divisors is an integer number (45463968).

Almost surely, 2^1864300480 is an apocalyptic number.

1864300480 is a gapful number since it is divisible by the number (10) 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 1864300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2545982208).

1864300480 is an abundant number, since it is smaller than the sum of its proper divisors (3227663936).

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

1864300480 is a wasteful number, since it uses less digits than its factorization.

1864300480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042 (or 3032 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 1864300480 is about 43177.5460164192. The cubic root of 1864300480 is about 1230.7560249545.

The spelling of 1864300480 in words is "one billion, eight hundred sixty-four million, three hundred thousand, four hundred eighty".