45421200 has 360 divisors, whose sum is σ = 182297856. Its totient is φ = 10368000.

The previous prime is 45421193. The next prime is 45421213. The reversal of 45421200 is 212454.

45421200 is a `hidden beast` number, since 4 + 542 + 120 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1227582 + ... + 1227618.

Almost surely, 2^45421200 is an apocalyptic number.

45421200 is a gapful number since it is divisible by the number (40) 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 45421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91148928).

45421200 is an abundant number, since it is smaller than the sum of its proper divisors (136876656).

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

45421200 is a wasteful number, since it uses less digits than its factorization.

45421200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 45421200 is about 6739.5252058287. The cubic root of 45421200 is about 356.7956366308.

Adding to 45421200 its reverse (212454), we get a palindrome (45633654).

The spelling of 45421200 in words is "forty-five million, four hundred twenty-one thousand, two hundred".