534114600 has 96 divisors (see below), whose sum is σ = 1660206240. Its totient is φ = 142048000.

The previous prime is 534114599. The next prime is 534114601. The reversal of 534114600 is 6411435.

It is an interprime number because it is at equal distance from previous prime (534114599) and next prime (534114601).

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

It is not an unprimeable number, because it can be changed into a prime (534114601) by changing a digit.

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, 275635 + ... + 277565.

It is an arithmetic number, because the mean of its divisors is an integer number (17293815).

Almost surely, 2^534114600 is an apocalyptic number.

534114600 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 534114600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830103120).

534114600 is an abundant number, since it is smaller than the sum of its proper divisors (1126091640).

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

534114600 is a wasteful number, since it uses less digits than its factorization.

534114600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 534114600 is about 23110.9194970689. The cubic root of 534114600 is about 811.3560580173.

The spelling of 534114600 in words is "five hundred thirty-four million, one hundred fourteen thousand, six hundred".