1199292480 has 392 divisors, whose sum is σ = 4407526872. Its totient is φ = 310542336.

The previous prime is 1199292449. The next prime is 1199292491. The reversal of 1199292480 is 842929911.

It can be written as a sum of positive squares in 4 ways, for example, as 191102976 + 1008189504 = 13824^2 + 31752^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 12363792 + ... + 12363888.

It is an arithmetic number, because the mean of its divisors is an integer number (11243691).

Almost surely, 2^1199292480 is an apocalyptic number.

1199292480 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 1199292480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203763436).

1199292480 is an abundant number, since it is smaller than the sum of its proper divisors (3208234392).

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

1199292480 is an frugal number, since it uses more digits than its factorization.

1199292480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1199292480 is about 34630.8024740981. The cubic root of 1199292480 is about 1062.4496802928.

The spelling of 1199292480 in words is "one billion, one hundred ninety-nine million, two hundred ninety-two thousand, four hundred eighty".