918464820 has 192 divisors, whose sum is σ = 3230707200. Its totient is φ = 193729536.

The previous prime is 918464783. The next prime is 918464849. The reversal of 918464820 is 28464819.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 265824 + ... + 269256.

It is an arithmetic number, because the mean of its divisors is an integer number (16826600).

Almost surely, 2^918464820 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 918464820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615353600).

918464820 is an abundant number, since it is smaller than the sum of its proper divisors (2312242380).

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

918464820 is a wasteful number, since it uses less digits than its factorization.

918464820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3479 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 918464820 is about 30306.1845173555. The cubic root of 918464820 is about 972.0475471669.

The spelling of 918464820 in words is "nine hundred eighteen million, four hundred sixty-four thousand, eight hundred twenty".