530907444900 has 1008 divisors, whose sum is σ = 2200887884160. Its totient is φ = 108167270400.

The previous prime is 530907444833. The next prime is 530907444923. The reversal of 530907444900 is 9444709035.

It is a happy number.

530907444900 is a `hidden beast` number, since 5 + 3 + 0 + 90 + 74 + 4 + 490 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 164825290 + ... + 164828510.

It is an arithmetic number, because the mean of its divisors is an integer number (2183420520).

Almost surely, 2^530907444900 is an apocalyptic number.

530907444900 is a gapful number since it is divisible by the number (50) 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 530907444900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100443942080).

530907444900 is an abundant number, since it is smaller than the sum of its proper divisors (1669980439260).

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

530907444900 is a wasteful number, since it uses less digits than its factorization.

530907444900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3296 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 530907444900 in words is "five hundred thirty billion, nine hundred seven million, four hundred forty-four thousand, nine hundred".