4909740480 has 280 divisors, whose sum is σ = 17550097488. Its totient is φ = 1302884352.

The previous prime is 4909740463. The next prime is 4909740497. The reversal of 4909740480 is 840479094.

4909740480 is a `hidden beast` number, since 49 + 0 + 97 + 40 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (4909740463) and next prime (4909740497).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 7957132 + ... + 7957748.

Almost surely, 2^4909740480 is an apocalyptic number.

4909740480 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 4909740480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8775048744).

4909740480 is an abundant number, since it is smaller than the sum of its proper divisors (12640357008).

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

4909740480 is a wasteful number, since it uses less digits than its factorization.

4909740480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 4909740480 is about 70069.5403153182. The cubic root of 4909740480 is about 1699.6239629635.

The spelling of 4909740480 in words is "four billion, nine hundred nine million, seven hundred forty thousand, four hundred eighty".