545890400 has 288 divisors, whose sum is σ = 1594585440. Its totient is φ = 180224000.

The previous prime is 545890381. The next prime is 545890409. The reversal of 545890400 is 4098545.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545890409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6133556 + ... + 6133644.

It is an arithmetic number, because the mean of its divisors is an integer number (5536755).

Almost surely, 2^545890400 is an apocalyptic number.

545890400 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 545890400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797292720).

545890400 is an abundant number, since it is smaller than the sum of its proper divisors (1048695040).

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

545890400 is a wasteful number, since it uses less digits than its factorization.

545890400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 545890400 is about 23364.2975498944. The cubic root of 545890400 is about 817.2755106243.

The spelling of 545890400 in words is "five hundred forty-five million, eight hundred ninety thousand, four hundred".