4971829248 has 480 divisors, whose sum is σ = 16482145680. Its totient is φ = 1486356480.

The previous prime is 4971829241. The next prime is 4971829267. The reversal of 4971829248 is 8429281794.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4971829194 and 4971829203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4971829241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 115623915 + ... + 115623957.

Almost surely, 2^4971829248 is an apocalyptic number.

4971829248 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 4971829248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8241072840).

4971829248 is an abundant number, since it is smaller than the sum of its proper divisors (11510316432).

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

4971829248 is a wasteful number, since it uses less digits than its factorization.

4971829248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 106 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 4971829248 is about 70511.1994508674. The cubic root of 4971829248 is about 1706.7584759639.

The spelling of 4971829248 in words is "four billion, nine hundred seventy-one million, eight hundred twenty-nine thousand, two hundred forty-eight".