1903380480 has 288 divisors, whose sum is σ = 6950361600. Its totient is φ = 480411648.

The previous prime is 1903380473. The next prime is 1903380487. The reversal of 1903380480 is 840833091.

It is an interprime number because it is at equal distance from previous prime (1903380473) and next prime (1903380487).

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (1903380487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1750497 + ... + 1751583.

It is an arithmetic number, because the mean of its divisors is an integer number (24133200).

Almost surely, 2^1903380480 is an apocalyptic number.

1903380480 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 1903380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475180800).

1903380480 is an abundant number, since it is smaller than the sum of its proper divisors (5046981120).

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

1903380480 is a wasteful number, since it uses less digits than its factorization.

1903380480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1139 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1903380480 is about 43627.7489678301. The cubic root of 1903380480 is about 1239.2964444554.

The spelling of 1903380480 in words is "one billion, nine hundred three million, three hundred eighty thousand, four hundred eighty".