494400672 has 120 divisors (see below), whose sum is σ = 1530698400. Its totient is φ = 156110976.

The previous prime is 494400667. The next prime is 494400677. The reversal of 494400672 is 276004494.

It is an interprime number because it is at equal distance from previous prime (494400667) and next prime (494400677).

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

It is not an unprimeable number, because it can be changed into a prime (494400677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 44229 + ... + 54267.

It is an arithmetic number, because the mean of its divisors is an integer number (12755820).

Almost surely, 2^494400672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 494400672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765349200).

494400672 is an abundant number, since it is smaller than the sum of its proper divisors (1036297728).

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

494400672 is a wasteful number, since it uses less digits than its factorization.

494400672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10080 (or 10063 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 494400672 is about 22235.1224867326. The cubic root of 494400672 is about 790.7266038388.

The spelling of 494400672 in words is "four hundred ninety-four million, four hundred thousand, six hundred seventy-two".