493488240 has 320 divisors, whose sum is σ = 1905306624. Its totient is φ = 103071744.

The previous prime is 493488227. The next prime is 493488283. The reversal of 493488240 is 42884394.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 493488192 and 493488201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1056487 + ... + 1056953.

Almost surely, 2^493488240 is an apocalyptic number.

493488240 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 493488240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952653312).

493488240 is an abundant number, since it is smaller than the sum of its proper divisors (1411818384).

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

493488240 is a wasteful number, since it uses less digits than its factorization.

493488240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 493488240 is about 22214.5952022539. The cubic root of 493488240 is about 790.2398673423.

The spelling of 493488240 in words is "four hundred ninety-three million, four hundred eighty-eight thousand, two hundred forty".