534212800 has 168 divisors, whose sum is σ = 1451335680. Its totient is φ = 191923200.

The previous prime is 534212729. The next prime is 534212813. The reversal of 534212800 is 8212435.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2235081 + ... + 2235319.

Almost surely, 2^534212800 is an apocalyptic number.

534212800 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 534212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725667840).

534212800 is an abundant number, since it is smaller than the sum of its proper divisors (917122880).

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

534212800 is a wasteful number, since it uses less digits than its factorization.

534212800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 534212800 is about 23113.0439362711. The cubic root of 534212800 is about 811.4057791087.

The spelling of 534212800 in words is "five hundred thirty-four million, two hundred twelve thousand, eight hundred".