4924207080 has 720 divisors, whose sum is σ = 19837027980. Its totient is φ = 1091211264.

The previous prime is 4924207069. The next prime is 4924207091. The reversal of 4924207080 is 807024294.

4924207080 is a `hidden beast` number, since 4 + 92 + 420 + 70 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4924207069) and next prime (4924207091).

It can be written as a sum of positive squares in 6 ways, for example, as 1016206884 + 3908000196 = 31878^2 + 62514^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 214095949 + ... + 214095971.

Almost surely, 2^4924207080 is an apocalyptic number.

4924207080 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 4924207080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9918513990).

4924207080 is an abundant number, since it is smaller than the sum of its proper divisors (14912820900).

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

4924207080 is a wasteful number, since it uses less digits than its factorization.

4924207080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 4924207080 is about 70172.6946896013. The cubic root of 4924207080 is about 1701.2916458207.

It can be divided in two parts, 492420 and 7080, that added together give a triangular number (499500 = T₉₉₉).

The spelling of 4924207080 in words is "four billion, nine hundred twenty-four million, two hundred seven thousand, eighty".