493405920 has 288 divisors, whose sum is σ = 1987614720. Its totient is φ = 109071360.

The previous prime is 493405853. The next prime is 493405921. The reversal of 493405920 is 29504394.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493405921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 311691 + ... + 313269.

It is an arithmetic number, because the mean of its divisors is an integer number (6901440).

Almost surely, 2^493405920 is an apocalyptic number.

493405920 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 493405920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993807360).

493405920 is an abundant number, since it is smaller than the sum of its proper divisors (1494208800).

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

493405920 is a wasteful number, since it uses less digits than its factorization.

493405920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1627 counting only the distinct ones).

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

The square root of 493405920 is about 22212.7422890556. The cubic root of 493405920 is about 790.1959242733.

The spelling of 493405920 in words is "four hundred ninety-three million, four hundred five thousand, nine hundred twenty".