534609482400 has 432 divisors, whose sum is σ = 2249182918080. Its totient is φ = 122196211200.

The previous prime is 534609482399. The next prime is 534609482417. The reversal of 534609482400 is 4284906435.

534609482400 is a `hidden beast` number, since 5 + 34 + 609 + 4 + 8 + 2 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 805845 + ... + 1310955.

It is an arithmetic number, because the mean of its divisors is an integer number (5206441940).

Almost surely, 2^534609482400 is an apocalyptic number.

534609482400 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 534609482400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124591459040).

534609482400 is an abundant number, since it is smaller than the sum of its proper divisors (1714573435680).

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

534609482400 is a wasteful number, since it uses less digits than its factorization.

534609482400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505154 (or 505128 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 534609482400 in words is "five hundred thirty-four billion, six hundred nine million, four hundred eighty-two thousand, four hundred".