4462887720 has 256 divisors, whose sum is σ = 14660352000. Its totient is φ = 1083801600.

The previous prime is 4462887661. The next prime is 4462887791. The reversal of 4462887720 is 277882644.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4462887720.

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, 4422576 + ... + 4423584.

It is an arithmetic number, because the mean of its divisors is an integer number (57267000).

Almost surely, 2^4462887720 is an apocalyptic number.

4462887720 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 4462887720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7330176000).

4462887720 is an abundant number, since it is smaller than the sum of its proper divisors (10197464280).

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

4462887720 is a wasteful number, since it uses less digits than its factorization.

4462887720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 48.

The square root of 4462887720 is about 66804.8480276694. The cubic root of 4462887720 is about 1646.4124957143.

The spelling of 4462887720 in words is "four billion, four hundred sixty-two million, eight hundred eighty-seven thousand, seven hundred twenty".