534200400 has 120 divisors (see below), whose sum is σ = 1901396160. Its totient is φ = 142450560.

The previous prime is 534200393. The next prime is 534200411. The reversal of 534200400 is 4002435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 13932 + ... + 35531.

It is an arithmetic number, because the mean of its divisors is an integer number (15844968).

Almost surely, 2^534200400 is an apocalyptic number.

534200400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

534200400 is an abundant number, since it is smaller than the sum of its proper divisors (1367195760).

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

534200400 is a wasteful number, since it uses less digits than its factorization.

534200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49490 (or 49473 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 534200400 is about 23112.7756879177. The cubic root of 534200400 is about 811.3995010178.

Adding to 534200400 its reverse (4002435), we get a palindrome (538202835).

The spelling of 534200400 in words is "five hundred thirty-four million, two hundred thousand, four hundred".