4960313280 has 504 divisors, whose sum is σ = 19444606272. Its totient is φ = 1153585152.

The previous prime is 4960313231. The next prime is 4960313327. The reversal of 4960313280 is 823130694.

4960313280 is a `hidden beast` number, since 4 + 9 + 60 + 313 + 280 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13515657 + ... + 13516023.

It is an arithmetic number, because the mean of its divisors is an integer number (38580568).

Almost surely, 2^4960313280 is an apocalyptic number.

4960313280 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 4960313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9722303136).

4960313280 is an abundant number, since it is smaller than the sum of its proper divisors (14484292992).

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

4960313280 is a wasteful number, since it uses less digits than its factorization.

4960313280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 4960313280 is about 70429.4915500602. The cubic root of 4960313280 is about 1705.4397010685.

The spelling of 4960313280 in words is "four billion, nine hundred sixty million, three hundred thirteen thousand, two hundred eighty".