493593408 has 336 divisors, whose sum is σ = 1825873920. Its totient is φ = 123724800.

The previous prime is 493593337. The next prime is 493593413. The reversal of 493593408 is 804395394.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1374733 + ... + 1375091.

Almost surely, 2^493593408 is an apocalyptic number.

493593408 is a gapful number since it is divisible by the number (48) 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 493593408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912936960).

493593408 is an abundant number, since it is smaller than the sum of its proper divisors (1332280512).

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

493593408 is a wasteful number, since it uses less digits than its factorization.

493593408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 493593408 is about 22216.9621685774. The cubic root of 493593408 is about 790.2959997460.

The spelling of 493593408 in words is "four hundred ninety-three million, five hundred ninety-three thousand, four hundred eight".