494945578400 has 288 divisors, whose sum is σ = 1535099747328. Its totient is φ = 151588454400.

The previous prime is 494945578381. The next prime is 494945578409. The reversal of 494945578400 is 4875549494.

It is a super-2 number, since 2×494945578400² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 494945578400.

It is not an unprimeable number, because it can be changed into a prime (494945578409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2147144 + ... + 2366456.

It is an arithmetic number, because the mean of its divisors is an integer number (5330207456).

Almost surely, 2^494945578400 is an apocalyptic number.

494945578400 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 494945578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767549873664).

494945578400 is an abundant number, since it is smaller than the sum of its proper divisors (1040154168928).

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

494945578400 is a wasteful number, since it uses less digits than its factorization.

494945578400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219384 (or 219371 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 59.

The spelling of 494945578400 in words is "four hundred ninety-four billion, nine hundred forty-five million, five hundred seventy-eight thousand, four hundred".