4965493200 has 120 divisors (see below), whose sum is σ = 16419353856. Its totient is φ = 1281408000.

The previous prime is 4965493189. The next prime is 4965493201. The reversal of 4965493200 is 23945694.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×4965493200² = 49312245438492480000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4965493201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29541 + ... + 103940.

Almost surely, 2^4965493200 is an apocalyptic number.

4965493200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4965493200 is an abundant number, since it is smaller than the sum of its proper divisors (11453860656).

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

4965493200 is a wasteful number, since it uses less digits than its factorization.

4965493200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133533 (or 133522 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 4965493200 is about 70466.2557540842. The cubic root of 4965493200 is about 1706.0331426149.

The spelling of 4965493200 in words is "four billion, nine hundred sixty-five million, four hundred ninety-three thousand, two hundred".