493199347200 has 720 divisors, whose sum is σ = 1926771772464. Its totient is φ = 110857420800.

The previous prime is 493199347187. The next prime is 493199347213. The reversal of 493199347200 is 2743991394.

It is an interprime number because it is at equal distance from previous prime (493199347187) and next prime (493199347213).

It is a super-2 number, since 2×493199347200² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

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, 114775452 + ... + 114779748.

Almost surely, 2^493199347200 is an apocalyptic number.

493199347200 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 493199347200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (963385886232).

493199347200 is an abundant number, since it is smaller than the sum of its proper divisors (1433572425264).

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

493199347200 is a wasteful number, since it uses less digits than its factorization.

493199347200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4403 (or 4375 counting only the distinct ones).

The product of its (nonzero) digits is 1469664, while the sum is 51.

The spelling of 493199347200 in words is "four hundred ninety-three billion, one hundred ninety-nine million, three hundred forty-seven thousand, two hundred".