1838652480 has 672 divisors, whose sum is σ = 7797271680. Its totient is φ = 406425600.

The previous prime is 1838652479. The next prime is 1838652509. The reversal of 1838652480 is 842568381.

1838652480 is a `hidden beast` number, since 18 + 38 + 6 + 524 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18204430 + ... + 18204530.

Almost surely, 2^1838652480 is an apocalyptic number.

1838652480 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 1838652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3898635840).

1838652480 is an abundant number, since it is smaller than the sum of its proper divisors (5958619200).

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

1838652480 is a wasteful number, since it uses less digits than its factorization.

1838652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 1838652480 is about 42879.5111912438. The cubic root of 1838652480 is about 1225.0859259455.

The spelling of 1838652480 in words is "one billion, eight hundred thirty-eight million, six hundred fifty-two thousand, four hundred eighty".