491967507200 has 648 divisors, whose sum is σ = 1390789108800. Its totient is φ = 171220008960.

The previous prime is 491967507169. The next prime is 491967507211. The reversal of 491967507200 is 2705769194.

It is a Harshad number since it is a multiple of its sum of digits (50).

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, 5527724756 + ... + 5527724844.

Almost surely, 2^491967507200 is an apocalyptic number.

491967507200 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 491967507200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695394554400).

491967507200 is an abundant number, since it is smaller than the sum of its proper divisors (898821601600).

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

491967507200 is a wasteful number, since it uses less digits than its factorization.

491967507200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 50.

The spelling of 491967507200 in words is "four hundred ninety-one billion, nine hundred sixty-seven million, five hundred seven thousand, two hundred".