545259446400 has 384 divisors, whose sum is σ = 1951475097600. Its totient is φ = 133304832000.

The previous prime is 545259446353. The next prime is 545259446483. The reversal of 545259446400 is 4644952545.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 545259446400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5606185 + ... + 5702615.

It is an arithmetic number, because the mean of its divisors is an integer number (5081966400).

Almost surely, 2^545259446400 is an apocalyptic number.

545259446400 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 545259446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975737548800).

545259446400 is an abundant number, since it is smaller than the sum of its proper divisors (1406215651200).

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

545259446400 is a wasteful number, since it uses less digits than its factorization.

545259446400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96508 (or 96491 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 545259446400 in words is "five hundred forty-five billion, two hundred fifty-nine million, four hundred forty-six thousand, four hundred".