533904000 has 384 divisors, whose sum is σ = 2067923520. Its totient is φ = 121497600.

The previous prime is 533903987. The next prime is 533904013. The reversal of 533904000 is 409335.

It is an interprime number because it is at equal distance from previous prime (533903987) and next prime (533904013).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2351887 + ... + 2352113.

Almost surely, 2^533904000 is an apocalyptic number.

533904000 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 533904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033961760).

533904000 is an abundant number, since it is smaller than the sum of its proper divisors (1534019520).

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

533904000 is a wasteful number, since it uses less digits than its factorization.

533904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 533904000 is about 23106.3627600711. The cubic root of 533904000 is about 811.2494054695.

The spelling of 533904000 in words is "five hundred thirty-three million, nine hundred four thousand".