1153427040 has 240 divisors, whose sum is σ = 4140203760. Its totient is φ = 302330880.

The previous prime is 1153427027. The next prime is 1153427057. The reversal of 1153427040 is 407243511.

1153427040 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 1153426995 and 1153427013.

It is a congruent number.

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, 789831 + ... + 791289.

It is an arithmetic number, because the mean of its divisors is an integer number (17250849).

Almost surely, 2^1153427040 is an apocalyptic number.

1153427040 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 1153427040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070101880).

1153427040 is an abundant number, since it is smaller than the sum of its proper divisors (2986776720).

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

1153427040 is a wasteful number, since it uses less digits than its factorization.

1153427040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1530 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1153427040 is about 33962.1412752494. The cubic root of 1153427040 is about 1048.7292381920.

The spelling of 1153427040 in words is "one billion, one hundred fifty-three million, four hundred twenty-seven thousand, forty".