532958400 has 504 divisors, whose sum is σ = 2132594160. Its totient is φ = 129392640.

The previous prime is 532958353. The next prime is 532958429. The reversal of 532958400 is 4859235.

532958400 is a `hidden beast` number, since 53 + 29 + 584 + 0 + 0 = 666.

It is a super-2 number, since 2×532958400² = 568089312261120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 7300764 + ... + 7300836.

Almost surely, 2^532958400 is an apocalyptic number.

532958400 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 532958400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066297080).

532958400 is an abundant number, since it is smaller than the sum of its proper divisors (1599635760).

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

532958400 is a wasteful number, since it uses less digits than its factorization.

532958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 532958400 is about 23085.8917956400. The cubic root of 532958400 is about 810.7701865052.

The spelling of 532958400 in words is "five hundred thirty-two million, nine hundred fifty-eight thousand, four hundred".