491758400 has 252 divisors, whose sum is σ = 1463052192. Its totient is φ = 159329280.

The previous prime is 491758391. The next prime is 491758409. The reversal of 491758400 is 4857194.

It is an interprime number because it is at equal distance from previous prime (491758391) and next prime (491758409).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491758409) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5924759 + ... + 5924841.

Almost surely, 2^491758400 is an apocalyptic number.

491758400 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 491758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (731526096).

491758400 is an abundant number, since it is smaller than the sum of its proper divisors (971293792).

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

491758400 is a wasteful number, since it uses less digits than its factorization.

491758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 38.

The square root of 491758400 is about 22175.6262594769. The cubic root of 491758400 is about 789.3154353847.

It can be divided in two parts, 49175 and 8400, that added together give a palindrome (57575).

The spelling of 491758400 in words is "four hundred ninety-one million, seven hundred fifty-eight thousand, four hundred".