493888440 has 64 divisors (see below), whose sum is σ = 1488274560. Its totient is φ = 131116160.

The previous prime is 493888427. The next prime is 493888441. The reversal of 493888440 is 44888394.

It is a self number, because there is not a number n which added to its sum of digits gives 493888440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (493888441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18175 + ... + 36305.

It is an arithmetic number, because the mean of its divisors is an integer number (23254290).

Almost surely, 2^493888440 is an apocalyptic number.

493888440 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 493888440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744137280).

493888440 is an abundant number, since it is smaller than the sum of its proper divisors (994386120).

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

493888440 is a wasteful number, since it uses less digits than its factorization.

493888440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18372 (or 18368 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 493888440 is about 22223.6009683399. The cubic root of 493888440 is about 790.4534276786.

The spelling of 493888440 in words is "four hundred ninety-three million, eight hundred eighty-eight thousand, four hundred forty".