4982169600 has 672 divisors, whose sum is σ = 19746102240. Its totient is φ = 1226833920.

The previous prime is 4982169539. The next prime is 4982169601. The reversal of 4982169600 is 69612894.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4982169601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94003174 + ... + 94003226.

Almost surely, 2^4982169600 is an apocalyptic number.

4982169600 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 4982169600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9873051120).

4982169600 is an abundant number, since it is smaller than the sum of its proper divisors (14763932640).

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

4982169600 is a wasteful number, since it uses less digits than its factorization.

4982169600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 4982169600 is about 70584.4855474629. The cubic root of 4982169600 is about 1707.9408886884.

The spelling of 4982169600 in words is "four billion, nine hundred eighty-two million, one hundred sixty-nine thousand, six hundred".