494913600 has 126 divisors (see below), whose sum is σ = 1759090970. Its totient is φ = 131973120.

The previous prime is 494913589. The next prime is 494913611. The reversal of 494913600 is 6319494.

494913600 is a `hidden beast` number, since 4 + 9 + 49 + 1 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (494913589) and next prime (494913611).

It can be written as a sum of positive squares in 3 ways, for example, as 148060224 + 346853376 = 12168^2 + 18624^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2785 + ... + 31584.

Almost surely, 2^494913600 is an apocalyptic number.

494913600 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 494913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (879545485).

494913600 is an abundant number, since it is smaller than the sum of its proper divisors (1264177370).

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

494913600 is a wasteful number, since it uses less digits than its factorization.

494913600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34397 (or 34379 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 494913600 is about 22246.6536809472. The cubic root of 494913600 is about 790.9999621745. Note that the first 4 decimals are identical.

The spelling of 494913600 in words is "four hundred ninety-four million, nine hundred thirteen thousand, six hundred".