4524979200 has 528 divisors, whose sum is σ = 18031941120. Its totient is φ = 977633280.

The previous prime is 4524979163. The next prime is 4524979213. The reversal of 4524979200 is 29794254.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10214179 + ... + 10214621.

Almost surely, 2^4524979200 is an apocalyptic number.

4524979200 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 4524979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9015970560).

4524979200 is an abundant number, since it is smaller than the sum of its proper divisors (13506961920).

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

4524979200 is a wasteful number, since it uses less digits than its factorization.

4524979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 4524979200 is about 67267.9656300085. The cubic root of 4524979200 is about 1654.0127858287.

The spelling of 4524979200 in words is "four billion, five hundred twenty-four million, nine hundred seventy-nine thousand, two hundred".