1147946800 has 480 divisors, whose sum is σ = 3843753984. Its totient is φ = 317952000.

The previous prime is 1147946749. The next prime is 1147946801. The reversal of 1147946800 is 86497411.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1147946801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18818770 + ... + 18818830.

Almost surely, 2^1147946800 is an apocalyptic number.

1147946800 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 1147946800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921876992).

1147946800 is an abundant number, since it is smaller than the sum of its proper divisors (2695807184).

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

1147946800 is a wasteful number, since it uses less digits than its factorization.

1147946800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 1147946800 is about 33881.3636089222. The cubic root of 1147946800 is about 1047.0656697929.

The spelling of 1147946800 in words is "one billion, one hundred forty-seven million, nine hundred forty-six thousand, eight hundred".