1200291480 has 128 divisors (see below), whose sum is σ = 4130150400. Its totient is φ = 309744000.

The previous prime is 1200291467. The next prime is 1200291497. The reversal of 1200291480 is 841920021.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15555 + ... + 51405.

It is an arithmetic number, because the mean of its divisors is an integer number (32266800).

Almost surely, 2^1200291480 is an apocalyptic number.

1200291480 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 1200291480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065075200).

1200291480 is an abundant number, since it is smaller than the sum of its proper divisors (2929858920).

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

1200291480 is a wasteful number, since it uses less digits than its factorization.

1200291480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35902 (or 35892 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 1200291480 is about 34645.2230473409. The cubic root of 1200291480 is about 1062.7446021393.

The spelling of 1200291480 in words is "one billion, two hundred million, two hundred ninety-one thousand, four hundred eighty".