4992451200 has 960 divisors, whose sum is σ = 21486928320. Its totient is φ = 1128038400.

The previous prime is 4992451171. The next prime is 4992451201. The reversal of 4992451200 is 21542994.

4992451200 is a `hidden beast` number, since 499 + 2 + 45 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (4992451201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 48470349 + ... + 48470451.

It is an arithmetic number, because the mean of its divisors is an integer number (22382217).

Almost surely, 2^4992451200 is an apocalyptic number.

4992451200 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 4992451200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10743464160).

4992451200 is an abundant number, since it is smaller than the sum of its proper divisors (16494477120).

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

4992451200 is a wasteful number, since it uses less digits than its factorization.

4992451200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 4992451200 is about 70657.2798797123. The cubic root of 4992451200 is about 1709.1149621428.

It can be divided in two parts, 49924 and 51200, that added together give a square (101124 = 318²).

The spelling of 4992451200 in words is "four billion, nine hundred ninety-two million, four hundred fifty-one thousand, two hundred".