545652400 has 120 divisors (see below), whose sum is σ = 1436425920. Its totient is φ = 198266880.

The previous prime is 545652389. The next prime is 545652407. The reversal of 545652400 is 4256545.

It is not an unprimeable number, because it can be changed into a prime (545652407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 195817 + ... + 198583.

It is an arithmetic number, because the mean of its divisors is an integer number (11970216).

Almost surely, 2^545652400 is an apocalyptic number.

545652400 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 545652400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718212960).

545652400 is an abundant number, since it is smaller than the sum of its proper divisors (890773520).

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

545652400 is a wasteful number, since it uses less digits than its factorization.

545652400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2831 (or 2820 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 31.

The square root of 545652400 is about 23359.2037535529. The cubic root of 545652400 is about 817.1567200841.

It can be divided in two parts, 54565 and 2400, that added together give a palindrome (56965).

The spelling of 545652400 in words is "five hundred forty-five million, six hundred fifty-two thousand, four hundred".