1813038480 has 480 divisors, whose sum is σ = 7144899840. Its totient is φ = 407531520.

The previous prime is 1813038449. The next prime is 1813038499. The reversal of 1813038480 is 848303181.

1813038480 is a `hidden beast` number, since 18 + 130 + 38 + 480 = 666.

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

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 6739786 + ... + 6740054.

It is an arithmetic number, because the mean of its divisors is an integer number (14885208).

Almost surely, 2^1813038480 is an apocalyptic number.

1813038480 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 1813038480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3572449920).

1813038480 is an abundant number, since it is smaller than the sum of its proper divisors (5331861360).

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

1813038480 is a wasteful number, since it uses less digits than its factorization.

1813038480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1813038480 is about 42579.7895720493. The cubic root of 1813038480 is about 1219.3704715958.

The spelling of 1813038480 in words is "one billion, eight hundred thirteen million, thirty-eight thousand, four hundred eighty".