534516000 has 96 divisors (see below), whose sum is σ = 1751113728. Its totient is φ = 142534400.

The previous prime is 534515959. The next prime is 534516013. The reversal of 534516000 is 615435.

It is a tau number, because it is divible by the number of its divisors (96).

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

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 15 ways as a sum of consecutive naturals, for example, 10272 + ... + 34271.

It is an arithmetic number, because the mean of its divisors is an integer number (18240768).

Almost surely, 2^534516000 is an apocalyptic number.

534516000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

534516000 is an abundant number, since it is smaller than the sum of its proper divisors (1216597728).

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

534516000 is a wasteful number, since it uses less digits than its factorization.

534516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44571 (or 44553 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 534516000 is about 23119.6020727001. The cubic root of 534516000 is about 811.5592583360.

The spelling of 534516000 in words is "five hundred thirty-four million, five hundred sixteen thousand".