534400000 has 132 divisors (see below), whose sum is σ = 1343257776. Its totient is φ = 212480000.

The previous prime is 534399977. The next prime is 534400021. The reversal of 534400000 is 4435.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3199917 + ... + 3200083.

Almost surely, 2^534400000 is an apocalyptic number.

534400000 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 534400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671628888).

534400000 is an abundant number, since it is smaller than the sum of its proper divisors (808857776).

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

534400000 is an frugal number, since it uses more digits than its factorization.

534400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 534400000 is about 23117.0932428798. The cubic root of 534400000 is about 811.5005462270.

Adding to 534400000 its reverse (4435), we get a palindrome (534404435).

The spelling of 534400000 in words is "five hundred thirty-four million, four hundred thousand".