534297254400 has 1800 divisors, whose sum is σ = 2480336521740. Its totient is φ = 112591503360.

The previous prime is 534297254377. The next prime is 534297254441. The reversal of 534297254400 is 4452792435.

534297254400 is a `hidden beast` number, since 5 + 34 + 2 + 9 + 72 + 544 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 203018731776 + 331278522624 = 450576^2 + 575568^2 .

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 660441196 + ... + 660442004.

Almost surely, 2^534297254400 is an apocalyptic number.

534297254400 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 534297254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1240168260870).

534297254400 is an abundant number, since it is smaller than the sum of its proper divisors (1946039267340).

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

534297254400 is a wasteful number, since it uses less digits than its factorization.

534297254400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 534297254400 in words is "five hundred thirty-four billion, two hundred ninety-seven million, two hundred fifty-four thousand, four hundred".