545810400 has 180 divisors, whose sum is σ = 1990700712. Its totient is φ = 145532160.

The previous prime is 545810383. The next prime is 545810411. The reversal of 545810400 is 4018545.

545810400 is a `hidden beast` number, since 545 + 81 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 60589 + ... + 69011.

Almost surely, 2^545810400 is an apocalyptic number.

545810400 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 545810400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995350356).

545810400 is an abundant number, since it is smaller than the sum of its proper divisors (1444890312).

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

545810400 is a wasteful number, since it uses less digits than its factorization.

545810400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8455 (or 8433 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 545810400 is about 23362.5854733589. The cubic root of 545810400 is about 817.2355848840.

Adding to 545810400 its reverse (4018545), we get a palindrome (549828945).

The spelling of 545810400 in words is "five hundred forty-five million, eight hundred ten thousand, four hundred".