494128800 has 432 divisors, whose sum is σ = 2018120832. Its totient is φ = 112435200.

The previous prime is 494128799. The next prime is 494128837. The reversal of 494128800 is 8821494.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 71 ways as a sum of consecutive naturals, for example, 1346217 + ... + 1346583.

It is an arithmetic number, because the mean of its divisors is an integer number (4671576).

Almost surely, 2^494128800 is an apocalyptic number.

494128800 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 494128800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009060416).

494128800 is an abundant number, since it is smaller than the sum of its proper divisors (1523992032).

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

494128800 is a wasteful number, since it uses less digits than its factorization.

494128800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 494128800 is about 22229.0080750356. The cubic root of 494128800 is about 790.5816365058.

It can be divided in two parts, 4 and 94128800, that added together give a square (94128804 = 9702²).

The spelling of 494128800 in words is "four hundred ninety-four million, one hundred twenty-eight thousand, eight hundred".