491454928800 has 1440 divisors, whose sum is σ = 2108169068544. Its totient is φ = 110170368000.

The previous prime is 491454928799. The next prime is 491454928817. The reversal of 491454928800 is 8829454194.

It is a happy number.

491454928800 is a `hidden beast` number, since 4 + 9 + 14 + 549 + 2 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 508225917 + ... + 508226883.

Almost surely, 2^491454928800 is an apocalyptic number.

491454928800 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 491454928800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054084534272).

491454928800 is an abundant number, since it is smaller than the sum of its proper divisors (1616714139744).

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

491454928800 is a wasteful number, since it uses less digits than its factorization.

491454928800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 491454928800 in words is "four hundred ninety-one billion, four hundred fifty-four million, nine hundred twenty-eight thousand, eight hundred".