536352000 has 288 divisors, whose sum is σ = 1841758464. Its totient is φ = 138240000.

The previous prime is 536351983. The next prime is 536352017. The reversal of 536352000 is 253635.

It is an interprime number because it is at equal distance from previous prime (536351983) and next prime (536352017).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 3551925 + ... + 3552075.

Almost surely, 2^536352000 is an apocalyptic number.

536352000 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 536352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920879232).

536352000 is an abundant number, since it is smaller than the sum of its proper divisors (1305406464).

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

536352000 is a wasteful number, since it uses less digits than its factorization.

536352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 536352000 is about 23159.2746000387. The cubic root of 536352000 is about 812.4874001991.

The spelling of 536352000 in words is "five hundred thirty-six million, three hundred fifty-two thousand".