1172849040 has 480 divisors, whose sum is σ = 4713126912. Its totient is φ = 258048000.

The previous prime is 1172848987. The next prime is 1172849053. The reversal of 1172849040 is 409482711.

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 = 1172848986 and 1172849004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4173700 + ... + 4173980.

Almost surely, 2^1172849040 is an apocalyptic number.

1172849040 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 1172849040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2356563456).

1172849040 is an abundant number, since it is smaller than the sum of its proper divisors (3540277872).

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

1172849040 is a wasteful number, since it uses less digits than its factorization.

1172849040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1172849040 is about 34246.8836538451. The cubic root of 1172849040 is about 1054.5828528336.

The spelling of 1172849040 in words is "one billion, one hundred seventy-two million, eight hundred forty-nine thousand, forty".