494121600 has 768 divisors, whose sum is σ = 2226048000. Its totient is φ = 104509440.

The previous prime is 494121571. The next prime is 494121601. The reversal of 494121600 is 6121494.

494121600 is a `hidden beast` number, since 49 + 4 + 12 + 1 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (494121601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11491179 + ... + 11491221.

It is an arithmetic number, because the mean of its divisors is an integer number (2898500).

Almost surely, 2^494121600 is an apocalyptic number.

494121600 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 494121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113024000).

494121600 is an abundant number, since it is smaller than the sum of its proper divisors (1731926400).

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

494121600 is a wasteful number, since it uses less digits than its factorization.

494121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 494121600 is about 22228.8461238995. The cubic root of 494121600 is about 790.5777966059.

The spelling of 494121600 in words is "four hundred ninety-four million, one hundred twenty-one thousand, six hundred".