534461200 has 120 divisors (see below), whose sum is σ = 1580468288. Its totient is φ = 169136640.

The previous prime is 534461177. The next prime is 534461219. The reversal of 534461200 is 2164435.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29059 + ... + 43741.

Almost surely, 2^534461200 is an apocalyptic number.

534461200 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 534461200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790234144).

534461200 is an abundant number, since it is smaller than the sum of its proper divisors (1046007088).

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

534461200 is a wasteful number, since it uses less digits than its factorization.

534461200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14721 (or 14710 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 534461200 is about 23118.4169008174. The cubic root of 534461200 is about 811.5315229845.

The spelling of 534461200 in words is "five hundred thirty-four million, four hundred sixty-one thousand, two hundred".