4468306400 has 36 divisors (see below), whose sum is σ = 10908254952. Its totient is φ = 1787322240.

The previous prime is 4468306331. The next prime is 4468306417. The reversal of 4468306400 is 46038644.

It is a happy number.

It is a super-4 number, since 4×4468306400⁴ (a number of 40 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2791892 + ... + 2793491.

It is an arithmetic number, because the mean of its divisors is an integer number (303007082).

Almost surely, 2^4468306400 is an apocalyptic number.

4468306400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4468306400 is an abundant number, since it is smaller than the sum of its proper divisors (6439948552).

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

4468306400 is a wasteful number, since it uses less digits than its factorization.

4468306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5585403 (or 5585390 counting only the distinct ones).

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

The square root of 4468306400 is about 66845.3917633819. The cubic root of 4468306400 is about 1647.0785647694.

The spelling of 4468306400 in words is "four billion, four hundred sixty-eight million, three hundred six thousand, four hundred".