4531322400 has 144 divisors (see below), whose sum is σ = 16090407648. Its totient is φ = 1098496000.

The previous prime is 4531322387. The next prime is 4531322417. The reversal of 4531322400 is 42231354.

It is a super-3 number, since 3×4531322400³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59421 + ... + 112220.

It is an arithmetic number, because the mean of its divisors is an integer number (111738942).

Almost surely, 2^4531322400 is an apocalyptic number.

4531322400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4531322400 is an abundant number, since it is smaller than the sum of its proper divisors (11559085248).

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

4531322400 is a wasteful number, since it uses less digits than its factorization.

4531322400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171675 (or 171662 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 4531322400 is about 67315.0978607326. The cubic root of 4531322400 is about 1654.7853002611.

Adding to 4531322400 its reverse (42231354), we get a palindrome (4573553754).

The spelling of 4531322400 in words is "four billion, five hundred thirty-one million, three hundred twenty-two thousand, four hundred".