491964 has 24 divisors (see below), whose sum is σ = 1252608. Its totient is φ = 149040.

The previous prime is 491951. The next prime is 491969. The reversal of 491964 is 469194.

491964 = T₁₂₇ + T₁₂₈ + ... + T₁₇₀.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1732 + ... + 1995.

It is an arithmetic number, because the mean of its divisors is an integer number (52192).

2⁴⁹¹⁹⁶⁴ is an apocalyptic number.

491964 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

491964 is an abundant number, since it is smaller than the sum of its proper divisors (760644).

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

491964 is a wasteful number, since it uses less digits than its factorization.

491964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3745 (or 3743 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 491964 is about 701.4014542329. The cubic root of 491964 is about 78.9425422079.

The spelling of 491964 in words is "four hundred ninety-one thousand, nine hundred sixty-four".