493471440 has 800 divisors, whose sum is σ = 2281568256. Its totient is φ = 95800320.

The previous prime is 493471421. The next prime is 493471469. The reversal of 493471440 is 44174394.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 493471395 and 493471404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11476059 + ... + 11476101.

Almost surely, 2^493471440 is an apocalyptic number.

493471440 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 493471440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1140784128).

493471440 is an abundant number, since it is smaller than the sum of its proper divisors (1788096816).

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

493471440 is a wasteful number, since it uses less digits than its factorization.

493471440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 493471440 is about 22214.2170692554. The cubic root of 493471440 is about 790.2308997660.

The spelling of 493471440 in words is "four hundred ninety-three million, four hundred seventy-one thousand, four hundred forty".