533952000 has 400 divisors, whose sum is σ = 2008255392. Its totient is φ = 141004800.

The previous prime is 533951981. The next prime is 533952017. The reversal of 533952000 is 259335.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5183949 + ... + 5184051.

Almost surely, 2^533952000 is an apocalyptic number.

533952000 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 533952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004127696).

533952000 is an abundant number, since it is smaller than the sum of its proper divisors (1474303392).

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

533952000 is an equidigital number, since it uses as much as digits as its factorization.

533952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 533952000 is about 23107.4014116689. The cubic root of 533952000 is about 811.2737162098.

The spelling of 533952000 in words is "five hundred thirty-three million, nine hundred fifty-two thousand".