1153283040 has 432 divisors, whose sum is σ = 4877597088. Its totient is φ = 242970624.

The previous prime is 1153283017. The next prime is 1153283051. The reversal of 1153283040 is 403823511.

1153283040 = T₄₉₈₉ + T₄₉₉₀ + ... + T₅₀₇₉.

It is a happy number.

1153283040 is a `hidden beast` number, since 11 + 532 + 83 + 0 + 40 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1153282995 and 1153283013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1703182 + ... + 1703858.

It is an arithmetic number, because the mean of its divisors is an integer number (11290734).

Almost surely, 2^1153283040 is an apocalyptic number.

1153283040 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 1153283040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438798544).

1153283040 is an abundant number, since it is smaller than the sum of its proper divisors (3724314048).

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

1153283040 is a wasteful number, since it uses less digits than its factorization.

1153283040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 731 (or 707 counting only the distinct ones).

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

The square root of 1153283040 is about 33960.0212014068. The cubic root of 1153283040 is about 1048.6855933868.

The spelling of 1153283040 in words is "one billion, one hundred fifty-three million, two hundred eighty-three thousand, forty".