1150400448 has 224 divisors, whose sum is σ = 3660038400. Its totient is φ = 353092608.

The previous prime is 1150400437. The next prime is 1150400479. The reversal of 1150400448 is 8440040511.

It is a happy number.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1214311 + ... + 1215257.

Almost surely, 2^1150400448 is an apocalyptic number.

1150400448 is a gapful number since it is divisible by the number (18) 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 1150400448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1830019200).

1150400448 is an abundant number, since it is smaller than the sum of its proper divisors (2509637952).

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

1150400448 is a wasteful number, since it uses less digits than its factorization.

1150400448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1150400448 is about 33917.5536853706. The cubic root of 1150400448 is about 1047.8111463595.

Adding to 1150400448 its reverse (8440040511), we get a palindrome (9590440959).

The spelling of 1150400448 in words is "one billion, one hundred fifty million, four hundred thousand, four hundred forty-eight".