534314400 has 144 divisors (see below), whose sum is σ = 1753887744. Its totient is φ = 141281280.

The previous prime is 534314399. The next prime is 534314401. The reversal of 534314400 is 4413435.

It is an interprime number because it is at equal distance from previous prime (534314399) and next prime (534314401).

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 (534314401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 303924 + ... + 305676.

It is an arithmetic number, because the mean of its divisors is an integer number (12179776).

Almost surely, 2^534314400 is an apocalyptic number.

534314400 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 534314400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (876943872).

534314400 is an abundant number, since it is smaller than the sum of its proper divisors (1219573344).

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

534314400 is a wasteful number, since it uses less digits than its factorization.

534314400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 534314400 is about 23115.2417248879. The cubic root of 534314400 is about 811.4572152914.

Adding to 534314400 its reverse (4413435), we get a palindrome (538727835).

It can be divided in two parts, 53 and 4314400, that added together give a triangular number (4314453 = T₂₉₃₇).

The spelling of 534314400 in words is "five hundred thirty-four million, three hundred fourteen thousand, four hundred".