1153830420 has 240 divisors, whose sum is σ = 3820037760. Its totient is φ = 290974464.

The previous prime is 1153830407. The next prime is 1153830493. The reversal of 1153830420 is 240383511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 6445891 + ... + 6446069.

It is an arithmetic number, because the mean of its divisors is an integer number (15916824).

Almost surely, 2^1153830420 is an apocalyptic number.

1153830420 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 1153830420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910018880).

1153830420 is an abundant number, since it is smaller than the sum of its proper divisors (2666207340).

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

1153830420 is a wasteful number, since it uses less digits than its factorization.

1153830420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1153830420 is about 33968.0794276038. The cubic root of 1153830420 is about 1048.8514788655.

The spelling of 1153830420 in words is "one billion, one hundred fifty-three million, eight hundred thirty thousand, four hundred twenty".