493014999400 has 288 divisors, whose sum is σ = 1482085810080. Its totient is φ = 150765888000.

The previous prime is 493014999349. The next prime is 493014999427. The reversal of 493014999400 is 4999410394.

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, 5670255 + ... + 5756545.

It is an arithmetic number, because the mean of its divisors is an integer number (5146131285).

Almost surely, 2^493014999400 is an apocalyptic number.

493014999400 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 493014999400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741042905040).

493014999400 is an abundant number, since it is smaller than the sum of its proper divisors (989070810680).

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

493014999400 is a wasteful number, since it uses less digits than its factorization.

493014999400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86385 (or 86369 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 52.

The spelling of 493014999400 in words is "four hundred ninety-three billion, fourteen million, nine hundred ninety-nine thousand, four hundred".