493379760 has 80 divisors (see below), whose sum is σ = 1541615616. Its totient is φ = 130523904.

The previous prime is 493379749. The next prime is 493379767. The reversal of 493379760 is 67973394.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (493379767) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22387 + ... + 38573.

Almost surely, 2^493379760 is an apocalyptic number.

493379760 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 493379760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770807808).

493379760 is an abundant number, since it is smaller than the sum of its proper divisors (1048235856).

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

493379760 is a wasteful number, since it uses less digits than its factorization.

493379760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16330 (or 16324 counting only the distinct ones).

The product of its (nonzero) digits is 857304, while the sum is 48.

The square root of 493379760 is about 22212.1534300482. The cubic root of 493379760 is about 790.1819588344.

The spelling of 493379760 in words is "four hundred ninety-three million, three hundred seventy-nine thousand, seven hundred sixty".