493132464 has 120 divisors (see below), whose sum is σ = 1594197072. Its totient is φ = 140636160.

The previous prime is 493132433. The next prime is 493132487. The reversal of 493132464 is 464231394.

It is a happy number.

It is a super-2 number, since 2×493132464² = 486359254101422592, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17772 + ... + 36084.

Almost surely, 2^493132464 is an apocalyptic number.

493132464 is a gapful number since it is divisible by the number (44) 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 493132464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797098536).

493132464 is an abundant number, since it is smaller than the sum of its proper divisors (1101064608).

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

493132464 is a wasteful number, since it uses less digits than its factorization.

493132464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18355 (or 18346 counting only the distinct ones).

The product of its digits is 62208, while the sum is 36.

The square root of 493132464 is about 22206.5860500888. The cubic root of 493132464 is about 790.0499161965.

The spelling of 493132464 in words is "four hundred ninety-three million, one hundred thirty-two thousand, four hundred sixty-four".