1149384600 has 384 divisors, whose sum is σ = 4874688000. Its totient is φ = 242403840.

The previous prime is 1149384563. The next prime is 1149384601. The reversal of 1149384600 is 64839411.

1149384600 is a `hidden beast` number, since 1 + 1 + 49 + 3 + 8 + 4 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1149384601) 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, 490231 + ... + 492569.

It is an arithmetic number, because the mean of its divisors is an integer number (12694500).

Almost surely, 2^1149384600 is an apocalyptic number.

1149384600 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 1149384600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437344000).

1149384600 is an abundant number, since it is smaller than the sum of its proper divisors (3725303400).

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

1149384600 is a wasteful number, since it uses less digits than its factorization.

1149384600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2384 (or 2369 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1149384600 is about 33902.5751234327. The cubic root of 1149384600 is about 1047.5026363040.

The spelling of 1149384600 in words is "one billion, one hundred forty-nine million, three hundred eighty-four thousand, six hundred".