4605530400 has 504 divisors, whose sum is σ = 17290494900. Its totient is φ = 1196881920.

The previous prime is 4605530389. The next prime is 4605530417. The reversal of 4605530400 is 40355064.

4605530400 is a `hidden beast` number, since 4 + 605 + 53 + 0 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1216893456 + 3388636944 = 34884^2 + 58212^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 30909526 + ... + 30909674.

Almost surely, 2^4605530400 is an apocalyptic number.

4605530400 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 4605530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8645247450).

4605530400 is an abundant number, since it is smaller than the sum of its proper divisors (12684964500).

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

4605530400 is a wasteful number, since it uses less digits than its factorization.

4605530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 212 counting only the distinct ones).

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

The square root of 4605530400 is about 67864.0582340903. The cubic root of 4605530400 is about 1663.7697266717.

Adding to 4605530400 its reverse (40355064), we get a palindrome (4645885464).

The spelling of 4605530400 in words is "four billion, six hundred five million, five hundred thirty thousand, four hundred".