494618400 has 360 divisors, whose sum is σ = 1914135300. Its totient is φ = 123863040.

The previous prime is 494618339. The next prime is 494618413. The reversal of 494618400 is 4816494.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 277822224 + 216796176 = 16668^2 + 14724^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1101376 + ... + 1101824.

Almost surely, 2^494618400 is an apocalyptic number.

494618400 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 494618400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957067650).

494618400 is an abundant number, since it is smaller than the sum of its proper divisors (1419516900).

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

494618400 is a wasteful number, since it uses less digits than its factorization.

494618400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 494618400 is about 22240.0179856042. The cubic root of 494618400 is about 790.8426622405.

The spelling of 494618400 in words is "four hundred ninety-four million, six hundred eighteen thousand, four hundred".