491374800 has 720 divisors, whose sum is σ = 2187574272. Its totient is φ = 99532800.

The previous prime is 491374799. The next prime is 491374823. The reversal of 491374800 is 8473194.

It is a happy number.

491374800 is a `hidden beast` number, since 49 + 137 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13280382 + ... + 13280418.

Almost surely, 2^491374800 is an apocalyptic number.

491374800 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 491374800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093787136).

491374800 is an abundant number, since it is smaller than the sum of its proper divisors (1696199472).

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

491374800 is a wasteful number, since it uses less digits than its factorization.

491374800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 491374800 is about 22166.9754364460. The cubic root of 491374800 is about 789.1101447622.

The spelling of 491374800 in words is "four hundred ninety-one million, three hundred seventy-four thousand, eight hundred".