493653440 has 168 divisors, whose sum is σ = 1440271440. Its totient is φ = 160247808.

The previous prime is 493653437. The next prime is 493653449. The reversal of 493653440 is 44356394.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 493653394 and 493653403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493653449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 297092 + ... + 298748.

Almost surely, 2^493653440 is an apocalyptic number.

493653440 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 493653440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720135720).

493653440 is an abundant number, since it is smaller than the sum of its proper divisors (946618000).

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

493653440 is a wasteful number, since it uses less digits than its factorization.

493653440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 38.

The square root of 493653440 is about 22218.3131672951. The cubic root of 493653440 is about 790.3280376713.

The spelling of 493653440 in words is "four hundred ninety-three million, six hundred fifty-three thousand, four hundred forty".