493508400 has 480 divisors, whose sum is σ = 2029632000. Its totient is φ = 101606400.

The previous prime is 493508383. The next prime is 493508423. The reversal of 493508400 is 4805394.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4527546 + ... + 4527654.

It is an arithmetic number, because the mean of its divisors is an integer number (4228400).

Almost surely, 2^493508400 is an apocalyptic number.

493508400 is a gapful number since it is divisible by the number (40) 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 493508400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1014816000).

493508400 is an abundant number, since it is smaller than the sum of its proper divisors (1536123600).

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

493508400 is a wasteful number, since it uses less digits than its factorization.

493508400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 493508400 is about 22215.0489533559. The cubic root of 493508400 is about 790.2506281653.

The spelling of 493508400 in words is "four hundred ninety-three million, five hundred eight thousand, four hundred".