493489920 has 288 divisors, whose sum is σ = 1966164480. Its totient is φ = 102481920.

The previous prime is 493489891. The next prime is 493489949. The reversal of 493489920 is 29984394.

It is an interprime number because it is at equal distance from previous prime (493489891) and next prime (493489949).

It is a super-2 number, since 2×493489920² = 487064602283212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 493489920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294846 + ... + 296514.

It is an arithmetic number, because the mean of its divisors is an integer number (6826960).

Almost surely, 2^493489920 is an apocalyptic number.

493489920 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 493489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (983082240).

493489920 is an abundant number, since it is smaller than the sum of its proper divisors (1472674560).

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

493489920 is a wasteful number, since it uses less digits than its factorization.

493489920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1697 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 493489920 is about 22214.6330151997. The cubic root of 493489920 is about 790.2407640888.

The spelling of 493489920 in words is "four hundred ninety-three million, four hundred eighty-nine thousand, nine hundred twenty".