494210795400 has 720 divisors, whose sum is σ = 1950368399460. Its totient is φ = 112139596800.

The previous prime is 494210795383. The next prime is 494210795423. The reversal of 494210795400 is 4597012494.

494210795400 is a `hidden beast` number, since 4 + 94 + 2 + 10 + 7 + 9 + 540 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 367868936484 + 126341858916 = 606522^2 + 355446^2 .

It is a super-2 number, since 2×494210795400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 747671070 + ... + 747671730.

Almost surely, 2^494210795400 is an apocalyptic number.

494210795400 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 494210795400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975184199730).

494210795400 is an abundant number, since it is smaller than the sum of its proper divisors (1456157604060).

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

494210795400 is a wasteful number, since it uses less digits than its factorization.

494210795400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 494210795400 in words is "four hundred ninety-four billion, two hundred ten million, seven hundred ninety-five thousand, four hundred".