918455040 has 216 divisors, whose sum is σ = 3232324368. Its totient is φ = 240721920.

The previous prime is 918455029. The next prime is 918455081. The reversal of 918455040 is 40554819.

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 = 918454986 and 918455004.

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 23 ways as a sum of consecutive naturals, for example, 702067 + ... + 703373.

Almost surely, 2^918455040 is an apocalyptic number.

918455040 is a gapful number since it is divisible by the number (90) 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 918455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616162184).

918455040 is an abundant number, since it is smaller than the sum of its proper divisors (2313869328).

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

918455040 is a wasteful number, since it uses less digits than its factorization.

918455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1395 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 918455040 is about 30306.0231637211. The cubic root of 918455040 is about 972.0440969681.

The spelling of 918455040 in words is "nine hundred eighteen million, four hundred fifty-five thousand, forty".