4902067200 has 528 divisors, whose sum is σ = 17544591360. Its totient is φ = 1204224000.

The previous prime is 4902067193. The next prime is 4902067207. The reversal of 4902067200 is 27602094.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4902067193) and next prime (4902067207).

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 (4902067207) 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, 69043165 + ... + 69043235.

Almost surely, 2^4902067200 is an apocalyptic number.

4902067200 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 4902067200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8772295680).

4902067200 is an abundant number, since it is smaller than the sum of its proper divisors (12642524160).

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

4902067200 is a wasteful number, since it uses less digits than its factorization.

4902067200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 4902067200 is about 70014.7641572833. The cubic root of 4902067200 is about 1698.7380715624.

Adding to 4902067200 its reverse (27602094), we get a palindrome (4929669294).

The spelling of 4902067200 in words is "four billion, nine hundred two million, sixty-seven thousand, two hundred".