534956400 has 600 divisors, whose sum is σ = 2232595200. Its totient is φ = 121305600.

The previous prime is 534956393. The next prime is 534956437. The reversal of 534956400 is 4659435.

It is a happy number.

534956400 is a `hidden beast` number, since 5 + 3 + 4 + 9 + 5 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6771561 + ... + 6771639.

It is an arithmetic number, because the mean of its divisors is an integer number (3720992).

Almost surely, 2^534956400 is an apocalyptic number.

534956400 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 534956400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116297600).

534956400 is an abundant number, since it is smaller than the sum of its proper divisors (1697638800).

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

534956400 is a wasteful number, since it uses less digits than its factorization.

534956400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 534956400 is about 23129.1244970492. The cubic root of 534956400 is about 811.7820845829.

It can be divided in two parts, 53495 and 6400, that added together give a palindrome (59895).

The spelling of 534956400 in words is "five hundred thirty-four million, nine hundred fifty-six thousand, four hundred".