4642453200 has 480 divisors, whose sum is σ = 18953072640. Its totient is φ = 943257600.

The previous prime is 4642453187. The next prime is 4642453201. The reversal of 4642453200 is 23542464.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4642453201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4342266 + ... + 4343334.

It is an arithmetic number, because the mean of its divisors is an integer number (39485568).

Almost surely, 2^4642453200 is an apocalyptic number.

4642453200 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 4642453200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9476536320).

4642453200 is an abundant number, since it is smaller than the sum of its proper divisors (14310619440).

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

4642453200 is a wasteful number, since it uses less digits than its factorization.

4642453200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 4642453200 is about 68135.5501922455. The cubic root of 4642453200 is about 1668.2040764977.

Adding to 4642453200 its reverse (23542464), we get a palindrome (4665995664).

The spelling of 4642453200 in words is "four billion, six hundred forty-two million, four hundred fifty-three thousand, two hundred".