491085504 has 336 divisors, whose sum is σ = 1801782528. Its totient is φ = 129143808.

The previous prime is 491085493. The next prime is 491085509. The reversal of 491085504 is 405580194.

491085504 is a `hidden beast` number, since 49 + 108 + 5 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491085509) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1415059 + ... + 1415405.

It is an arithmetic number, because the mean of its divisors is an integer number (5362448).

Almost surely, 2^491085504 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 491085504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900891264).

491085504 is an abundant number, since it is smaller than the sum of its proper divisors (1310697024).

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

491085504 is a wasteful number, since it uses less digits than its factorization.

491085504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 372 counting only the distinct ones).

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

The square root of 491085504 is about 22160.4490929223. The cubic root of 491085504 is about 788.9552519837.

The spelling of 491085504 in words is "four hundred ninety-one million, eighty-five thousand, five hundred four".