491927436 has 432 divisors, whose sum is σ = 1805573952. Its totient is φ = 109486080.

The previous prime is 491927417. The next prime is 491927441. The reversal of 491927436 is 634729194.

491927436 = 276³ + 277³ + ... + 296³.

It is a happy number.

491927436 is a `hidden beast` number, since 491 + 92 + 74 + 3 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (326592) is a multiple of the sum of its prime divisors (126).

It is a junction number, because it is equal to n+sod(n) for n = 491927391 and 491927400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6738696 + ... + 6738768.

Almost surely, 2^491927436 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 491927436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902786976).

491927436 is an abundant number, since it is smaller than the sum of its proper divisors (1313646516).

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

491927436 is a wasteful number, since it uses less digits than its factorization.

491927436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 491927436 is about 22179.4372336180. The cubic root of 491927436 is about 789.4058642344.

The spelling of 491927436 in words is "four hundred ninety-one million, nine hundred twenty-seven thousand, four hundred thirty-six".