493790100804 has 945 divisors, whose sum is σ = 1794647029371. Its totient is φ = 118391232960.

The previous prime is 493790100781. The next prime is 493790100829. The reversal of 493790100804 is 408001097394.

The square root of 493790100804 is 702702.

It is a perfect power (a square), and thus also a powerful number.

493790100804 is a `hidden beast` number, since 493 + 79 + 0 + 10 + 0 + 80 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 244829019204 + 248961081600 = 494802^2 + 498960^2 .

It is a super-3 number, since 3×493790100804³ (a number of 36 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 493790100804.

It is an unprimeable number.

It is a polite number, since it can be written in 314 ways as a sum of consecutive naturals, for example, 37983853902 + ... + 37983853914.

Almost surely, 2^493790100804 is an apocalyptic number.

493790100804 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

493790100804 is the 702702-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 493790100804

493790100804 is an abundant number, since it is smaller than the sum of its proper divisors (1300856928567).

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

493790100804 is an equidigital number, since it uses as much as digits as its factorization.

493790100804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 493790100804 in words is "four hundred ninety-three billion, seven hundred ninety million, one hundred thousand, eight hundred four".