4530650400 has 432 divisors, whose sum is σ = 16890793920. Its totient is φ = 1140480000.

The previous prime is 4530650393. The next prime is 4530650413. The reversal of 4530650400 is 40560354.

4530650400 is a `hidden beast` number, since 4 + 5 + 3 + 0 + 650 + 4 + 0 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18050275 + ... + 18050525.

It is an arithmetic number, because the mean of its divisors is an integer number (39099060).

Almost surely, 2^4530650400 is an apocalyptic number.

4530650400 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 4530650400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8445396960).

4530650400 is an abundant number, since it is smaller than the sum of its proper divisors (12360143520).

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

4530650400 is a wasteful number, since it uses less digits than its factorization.

4530650400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 4530650400 is about 67310.1062248456. The cubic root of 4530650400 is about 1654.7034940687.

The spelling of 4530650400 in words is "four billion, five hundred thirty million, six hundred fifty thousand, four hundred".