493918400 has 84 divisors (see below), whose sum is σ = 1222296768. Its totient is φ = 196439040.

The previous prime is 493918379. The next prime is 493918417. The reversal of 493918400 is 4819394.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 314417 + ... + 315983.

It is an arithmetic number, because the mean of its divisors is an integer number (14551152).

Almost surely, 2^493918400 is an apocalyptic number.

493918400 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 493918400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611148384).

493918400 is an abundant number, since it is smaller than the sum of its proper divisors (728378368).

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

493918400 is a wasteful number, since it uses less digits than its factorization.

493918400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 38.

The square root of 493918400 is about 22224.2750162969. The cubic root of 493918400 is about 790.4694107117.

The spelling of 493918400 in words is "four hundred ninety-three million, nine hundred eighteen thousand, four hundred".