4901880456 has 256 divisors, whose sum is σ = 15599001600. Its totient is φ = 1412640000.

The previous prime is 4901880443. The next prime is 4901880461. The reversal of 4901880456 is 6540881094.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4492471 + ... + 4493561.

It is an arithmetic number, because the mean of its divisors is an integer number (60933600).

Almost surely, 2^4901880456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4901880456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7799500800).

4901880456 is an abundant number, since it is smaller than the sum of its proper divisors (10697121144).

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

4901880456 is a wasteful number, since it uses less digits than its factorization.

4901880456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 4901880456 is about 70013.4305401471. The cubic root of 4901880456 is about 1698.7165001751.

The spelling of 4901880456 in words is "four billion, nine hundred one million, eight hundred eighty thousand, four hundred fifty-six".