493035408 has 120 divisors (see below), whose sum is σ = 1499546880. Its totient is φ = 150647040.

The previous prime is 493035407. The next prime is 493035419. The reversal of 493035408 is 804530394.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (493035407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81910 + ... + 87722.

It is an arithmetic number, because the mean of its divisors is an integer number (12496224).

Almost surely, 2^493035408 is an apocalyptic number.

493035408 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 493035408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749773440).

493035408 is an abundant number, since it is smaller than the sum of its proper divisors (1006511472).

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

493035408 is a wasteful number, since it uses less digits than its factorization.

493035408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5877 (or 5868 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 493035408 is about 22204.4006449172. The cubic root of 493035408 is about 789.9980814994.

The spelling of 493035408 in words is "four hundred ninety-three million, thirty-five thousand, four hundred eight".