493823304 has 240 divisors, whose sum is σ = 1564392060. Its totient is φ = 144633600.

The previous prime is 493823269. The next prime is 493823321. The reversal of 493823304 is 403328394.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 381420900 + 112402404 = 19530^2 + 10602^2 .

It is a super-2 number, since 2×493823304² = 487722911146952832, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8095434 + ... + 8095494.

Almost surely, 2^493823304 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 493823304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782196030).

493823304 is an abundant number, since it is smaller than the sum of its proper divisors (1070568756).

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

493823304 is a wasteful number, since it uses less digits than its factorization.

493823304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 493823304 is about 22222.1354509417. The cubic root of 493823304 is about 790.4186767552.

The spelling of 493823304 in words is "four hundred ninety-three million, eight hundred twenty-three thousand, three hundred four".