493706880 has 128 divisors (see below), whose sum is σ = 1748606400. Its totient is φ = 131650560.

The previous prime is 493706869. The next prime is 493706893. The reversal of 493706880 is 88607394.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2995 + ... + 31565.

Almost surely, 2^493706880 is an apocalyptic number.

493706880 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 493706880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874303200).

493706880 is an abundant number, since it is smaller than the sum of its proper divisors (1254899520).

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

493706880 is a wasteful number, since it uses less digits than its factorization.

493706880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28599 (or 28581 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 493706880 is about 22219.5157462983. The cubic root of 493706880 is about 790.3565553877.

The spelling of 493706880 in words is "four hundred ninety-three million, seven hundred six thousand, eight hundred eighty".