1149258240 has 320 divisors, whose sum is σ = 4399718400. Its totient is φ = 282673152.

The previous prime is 1149258211. The next prime is 1149258281. The reversal of 1149258240 is 428529411.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 1149258195 and 1149258204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 897921 + ... + 899199.

It is an arithmetic number, because the mean of its divisors is an integer number (13749120).

Almost surely, 2^1149258240 is an apocalyptic number.

1149258240 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 1149258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199859200).

1149258240 is an abundant number, since it is smaller than the sum of its proper divisors (3250460160).

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

1149258240 is a wasteful number, since it uses less digits than its factorization.

1149258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1149258240 is about 33900.7114969583. The cubic root of 1149258240 is about 1047.4642484328.

The spelling of 1149258240 in words is "one billion, one hundred forty-nine million, two hundred fifty-eight thousand, two hundred forty".