545380400 has 120 divisors (see below), whose sum is σ = 1399754160. Its totient is φ = 203489280.

The previous prime is 545380399. The next prime is 545380421. The reversal of 545380400 is 4083545.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 944912 + ... + 945488.

It is an arithmetic number, because the mean of its divisors is an integer number (11664618).

Almost surely, 2^545380400 is an apocalyptic number.

545380400 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 545380400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699877080).

545380400 is an abundant number, since it is smaller than the sum of its proper divisors (854373760).

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

545380400 is a wasteful number, since it uses less digits than its factorization.

545380400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 545380400 is about 23353.3809115511. The cubic root of 545380400 is about 817.0209171625.

The spelling of 545380400 in words is "five hundred forty-five million, three hundred eighty thousand, four hundred".