918049300 has 216 divisors, whose sum is σ = 2500714944. Its totient is φ = 290626560.

The previous prime is 918049289. The next prime is 918049303. The reversal of 918049300 is 3940819.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (918049303) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 8579847 + ... + 8579953.

It is an arithmetic number, because the mean of its divisors is an integer number (11577384).

Almost surely, 2^918049300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 918049300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250357472).

918049300 is an abundant number, since it is smaller than the sum of its proper divisors (1582665644).

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

918049300 is a wasteful number, since it uses less digits than its factorization.

918049300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 918049300 is about 30299.3283753947. The cubic root of 918049300 is about 971.9009379870.

The spelling of 918049300 in words is "nine hundred eighteen million, forty-nine thousand, three hundred".