1149853950 has 288 divisors, whose sum is σ = 3760473600. Its totient is φ = 246216960.

The previous prime is 1149853937. The next prime is 1149853961. The reversal of 1149853950 is 593589411.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1149853896 and 1149853905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4274416 + ... + 4274684.

It is an arithmetic number, because the mean of its divisors is an integer number (13057200).

Almost surely, 2^1149853950 is an apocalyptic number.

1149853950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1149853950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880236800).

1149853950 is an abundant number, since it is smaller than the sum of its proper divisors (2610619650).

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

1149853950 is a wasteful number, since it uses less digits than its factorization.

1149853950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 1149853950 is about 33909.4964574822. The cubic root of 1149853950 is about 1047.6451991029.

The spelling of 1149853950 in words is "one billion, one hundred forty-nine million, eight hundred fifty-three thousand, nine hundred fifty".