918491940 has 192 divisors, whose sum is σ = 2941747200. Its totient is φ = 237831552.

The previous prime is 918491923. The next prime is 918491941. The reversal of 918491940 is 49194819.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is not an unprimeable number, because it can be changed into a prime (918491941) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4046107 + ... + 4046333.

It is an arithmetic number, because the mean of its divisors is an integer number (15321600).

Almost surely, 2^918491940 is an apocalyptic number.

918491940 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 918491940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470873600).

918491940 is an abundant number, since it is smaller than the sum of its proper divisors (2023255260).

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

918491940 is a wasteful number, since it uses less digits than its factorization.

918491940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 918491940 is about 30306.6319474797. The cubic root of 918491940 is about 972.0571144613.

It can be divided in two parts, 9184 and 91940, that added together give a square (101124 = 318²).

The spelling of 918491940 in words is "nine hundred eighteen million, four hundred ninety-one thousand, nine hundred forty".