530150400 has 528 divisors, whose sum is σ = 2132155200. Its totient is φ = 128286720.

The previous prime is 530150399. The next prime is 530150447. The reversal of 530150400 is 4051035.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8985571 + ... + 8985629.

Almost surely, 2^530150400 is an apocalyptic number.

530150400 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 530150400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066077600).

530150400 is an abundant number, since it is smaller than the sum of its proper divisors (1602004800).

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

530150400 is a wasteful number, since it uses less digits than its factorization.

530150400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 530150400 is about 23024.9951140060. The cubic root of 530150400 is about 809.3437757715.

The spelling of 530150400 in words is "five hundred thirty million, one hundred fifty thousand, four hundred".