491594400 has 288 divisors, whose sum is σ = 1940500800. Its totient is φ = 119116800.

The previous prime is 491594377. The next prime is 491594401. The reversal of 491594400 is 4495194.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×491594400² = 483330108222720000, which contains 22 as substring.

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 (491594401) 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, 236566 + ... + 238634.

It is an arithmetic number, because the mean of its divisors is an integer number (6737850).

Almost surely, 2^491594400 is an apocalyptic number.

491594400 is a gapful number since it is divisible by the number (40) 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 491594400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970250400).

491594400 is an abundant number, since it is smaller than the sum of its proper divisors (1448906400).

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

491594400 is a wasteful number, since it uses less digits than its factorization.

491594400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109 (or 2090 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 491594400 is about 22171.9281976106. The cubic root of 491594400 is about 789.2276808259.

The spelling of 491594400 in words is "four hundred ninety-one million, five hundred ninety-four thousand, four hundred".