4493874240 has 336 divisors, whose sum is σ = 16047720000. Its totient is φ = 1153511424.

The previous prime is 4493874227. The next prime is 4493874283. The reversal of 4493874240 is 424783944.

4493874240 is a `hidden beast` number, since 4 + 493 + 87 + 42 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9005511 + ... + 9006009.

Almost surely, 2^4493874240 is an apocalyptic number.

4493874240 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 4493874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8023860000).

4493874240 is an abundant number, since it is smaller than the sum of its proper divisors (11553845760).

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

4493874240 is a wasteful number, since it uses less digits than its factorization.

4493874240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 4493874240 is about 67036.3650565870. The cubic root of 4493874240 is about 1650.2141430054.

The spelling of 4493874240 in words is "four billion, four hundred ninety-three million, eight hundred seventy-four thousand, two hundred forty".