4964224400 has 60 divisors (see below), whose sum is σ = 12628128132. Its totient is φ = 1868881920.

The previous prime is 4964224393. The next prime is 4964224403. The reversal of 4964224400 is 44224694.

It can be written as a sum of positive squares in 6 ways, for example, as 276357376 + 4687867024 = 16624^2 + 68468^2 .

It is not an unprimeable number, because it can be changed into a prime (4964224403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 358217 + ... + 371816.

Almost surely, 2^4964224400 is an apocalyptic number.

4964224400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4964224400 is an abundant number, since it is smaller than the sum of its proper divisors (7663903732).

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

4964224400 is a wasteful number, since it uses less digits than its factorization.

4964224400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730068 (or 730057 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 35.

The square root of 4964224400 is about 70457.2522881783. The cubic root of 4964224400 is about 1705.8878197395.

The spelling of 4964224400 in words is "four billion, nine hundred sixty-four million, two hundred twenty-four thousand, four hundred".