45541200 has 60 divisors (see below), whose sum is σ = 145887488. Its totient is φ = 12144000.

The previous prime is 45541159. The next prime is 45541213. The reversal of 45541200 is 214554.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17776 + ... + 20175.

Almost surely, 2^45541200 is an apocalyptic number.

45541200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45541200 is an abundant number, since it is smaller than the sum of its proper divisors (100346288).

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

45541200 is a wasteful number, since it uses less digits than its factorization.

45541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37972 (or 37961 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 45541200 is about 6748.4220377804. The cubic root of 45541200 is about 357.1095709930.

Adding to 45541200 its reverse (214554), we get a palindrome (45755754).

The spelling of 45541200 in words is "forty-five million, five hundred forty-one thousand, two hundred".