493341440 has 72 divisors (see below), whose sum is σ = 1219924608. Its totient is φ = 190955520.

The previous prime is 493341439. The next prime is 493341463. The reversal of 493341440 is 44143394.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 493341397 and 493341406.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33464 + ... + 45896.

Almost surely, 2^493341440 is an apocalyptic number.

493341440 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 493341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609962304).

493341440 is an abundant number, since it is smaller than the sum of its proper divisors (726583168).

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

493341440 is a wasteful number, since it uses less digits than its factorization.

493341440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12485 (or 12471 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

The square root of 493341440 is about 22211.2908224623. The cubic root of 493341440 is about 790.1615009241.

The spelling of 493341440 in words is "four hundred ninety-three million, three hundred forty-one thousand, four hundred forty".