534912000 has 352 divisors, whose sum is σ = 2043724800. Its totient is φ = 121651200.

The previous prime is 534911999. The next prime is 534912011. The reversal of 534912000 is 219435.

It is a super-2 number, since 2×534912000² = 572261695488000000, which contains 22 as substring.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2687901 + ... + 2688099.

Almost surely, 2^534912000 is an apocalyptic number.

534912000 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 534912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021862400).

534912000 is an abundant number, since it is smaller than the sum of its proper divisors (1508812800).

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

534912000 is a wasteful number, since it uses less digits than its factorization.

534912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 534912000 is about 23128.1646483243. The cubic root of 534912000 is about 811.7596253559.

The spelling of 534912000 in words is "five hundred thirty-four million, nine hundred twelve thousand".