493029504 has 288 divisors, whose sum is σ = 1629547920. Its totient is φ = 148262400.

The previous prime is 493029457. The next prime is 493029521. The reversal of 493029504 is 405920394.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 3763519 + ... + 3763649.

Almost surely, 2^493029504 is an apocalyptic number.

493029504 is a gapful number since it is divisible by the number (44) 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 493029504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814773960).

493029504 is an abundant number, since it is smaller than the sum of its proper divisors (1136518416).

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

493029504 is a wasteful number, since it uses less digits than its factorization.

493029504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 493029504 is about 22204.2676978999. The cubic root of 493029504 is about 789.9949281307.

Adding to 493029504 its reverse (405920394), we get a palindrome (898949898).

The spelling of 493029504 in words is "four hundred ninety-three million, twenty-nine thousand, five hundred four".