491180400 has 360 divisors, whose sum is σ = 1846965120. Its totient is φ = 120476160.

The previous prime is 491180383. The next prime is 491180411. The reversal of 491180400 is 4081194.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-5 number, since 5×491180400⁵ (a number of 45 digits) contains 55555 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2941117 + ... + 2941283.

Almost surely, 2^491180400 is an apocalyptic number.

491180400 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 491180400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923482560).

491180400 is an abundant number, since it is smaller than the sum of its proper divisors (1355784720).

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

491180400 is a wasteful number, since it uses less digits than its factorization.

491180400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 491180400 is about 22162.5901013397. The cubic root of 491180400 is about 789.0060672185.

The spelling of 491180400 in words is "four hundred ninety-one million, one hundred eighty thousand, four hundred".