1151826480 has 400 divisors, whose sum is σ = 4652440320. Its totient is φ = 258660864.

The previous prime is 1151826457. The next prime is 1151826491. The reversal of 1151826480 is 846281511.

1151826480 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 8 + 2 + 648 + 0 = 666.

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

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, 3038931 + ... + 3039309.

Almost surely, 2^1151826480 is an apocalyptic number.

1151826480 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 1151826480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2326220160).

1151826480 is an abundant number, since it is smaller than the sum of its proper divisors (3500613840).

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

1151826480 is a wasteful number, since it uses less digits than its factorization.

1151826480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1151826480 is about 33938.5692096765. The cubic root of 1151826480 is about 1048.2439218177.

The spelling of 1151826480 in words is "one billion, one hundred fifty-one million, eight hundred twenty-six thousand, four hundred eighty".