1153420884 has 252 divisors, whose sum is σ = 3809830752. Its totient is φ = 298948320.

The previous prime is 1153420847. The next prime is 1153420901. The reversal of 1153420884 is 4880243511.

1153420884 is a `hidden beast` number, since 1 + 153 + 420 + 8 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2469619 + ... + 2470085.

It is an arithmetic number, because the mean of its divisors is an integer number (15118376).

Almost surely, 2^1153420884 is an apocalyptic number.

1153420884 is a gapful number since it is divisible by the number (14) 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 1153420884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904915376).

1153420884 is an abundant number, since it is smaller than the sum of its proper divisors (2656409868).

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

1153420884 is a wasteful number, since it uses less digits than its factorization.

1153420884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1153420884 is about 33962.0506448006. The cubic root of 1153420884 is about 1048.7273724509.

The spelling of 1153420884 in words is "one billion, one hundred fifty-three million, four hundred twenty thousand, eight hundred eighty-four".