1852152480 has 240 divisors, whose sum is σ = 6574746024. Its totient is φ = 491028480.

The previous prime is 1852152473. The next prime is 1852152493. The reversal of 1852152480 is 842512581.

1852152480 is a `hidden beast` number, since 1 + 8 + 52 + 1 + 524 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1716942096 + 135210384 = 41436^2 + 11628^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3123064 + ... + 3123656.

Almost surely, 2^1852152480 is an apocalyptic number.

1852152480 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 1852152480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3287373012).

1852152480 is an abundant number, since it is smaller than the sum of its proper divisors (4722593544).

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

1852152480 is a wasteful number, since it uses less digits than its factorization.

1852152480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 1852152480 is about 43036.6411328765. The cubic root of 1852152480 is about 1228.0769473653.

The spelling of 1852152480 in words is "one billion, eight hundred fifty-two million, one hundred fifty-two thousand, four hundred eighty".