1151259480 has 320 divisors, whose sum is σ = 4616663040. Its totient is φ = 251589888.

The previous prime is 1151259469. The next prime is 1151259521. The reversal of 1151259480 is 849521511.

1151259480 is a `hidden beast` number, since 1 + 151 + 25 + 9 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 520537 + ... + 522743.

It is an arithmetic number, because the mean of its divisors is an integer number (14427072).

Almost surely, 2^1151259480 is an apocalyptic number.

1151259480 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 1151259480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2308331520).

1151259480 is an abundant number, since it is smaller than the sum of its proper divisors (3465403560).

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

1151259480 is a wasteful number, since it uses less digits than its factorization.

1151259480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260 (or 2247 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 1151259480 is about 33930.2148534312. The cubic root of 1151259480 is about 1048.0718901600.

The spelling of 1151259480 in words is "one billion, one hundred fifty-one million, two hundred fifty-nine thousand, four hundred eighty".