4960651248 has 300 divisors, whose sum is σ = 16984828080. Its totient is φ = 1369198080.

The previous prime is 4960651243. The next prime is 4960651261. The reversal of 4960651248 is 8421560694.

4960651248 is a `hidden beast` number, since 4 + 96 + 0 + 6 + 512 + 48 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4960651243) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8717908 + ... + 8718476.

Almost surely, 2^4960651248 is an apocalyptic number.

4960651248 is a gapful number since it is divisible by the number (48) 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 4960651248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8492414040).

4960651248 is an abundant number, since it is smaller than the sum of its proper divisors (12024176832).

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

4960651248 is a wasteful number, since it uses less digits than its factorization.

4960651248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 4960651248 is about 70431.8908449858. The cubic root of 4960651248 is about 1705.4784332293.

The spelling of 4960651248 in words is "four billion, nine hundred sixty million, six hundred fifty-one thousand, two hundred forty-eight".