1151429760 has 192 divisors, whose sum is σ = 4282157880. Its totient is φ = 283410432.

The previous prime is 1151429731. The next prime is 1151429767. The reversal of 1151429760 is 679241511.

It can be written as a sum of positive squares in 4 ways, for example, as 1066936896 + 84492864 = 32664^2 + 9192^2 .

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (1151429767) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67192 + ... + 82568.

Almost surely, 2^1151429760 is an apocalyptic number.

1151429760 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 1151429760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2141078940).

1151429760 is an abundant number, since it is smaller than the sum of its proper divisors (3130728120).

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

1151429760 is a wasteful number, since it uses less digits than its factorization.

1151429760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15415 (or 15400 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1151429760 is about 33932.7240285834. The cubic root of 1151429760 is about 1048.1235602038.

The spelling of 1151429760 in words is "one billion, one hundred fifty-one million, four hundred twenty-nine thousand, seven hundred sixty".