45411200 has 96 divisors (see below), whose sum is σ = 117246960. Its totient is φ = 17346560.

The previous prime is 45411169. The next prime is 45411211. The reversal of 45411200 is 211454.

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, 73292 + ... + 73908.

Almost surely, 2^45411200 is an apocalyptic number.

45411200 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 45411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58623480).

45411200 is an abundant number, since it is smaller than the sum of its proper divisors (71835760).

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

45411200 is a wasteful number, since it uses less digits than its factorization.

45411200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 45411200 is about 6738.7832729655. The cubic root of 45411200 is about 356.7694504869.

Adding to 45411200 its reverse (211454), we get a palindrome (45622654).

The spelling of 45411200 in words is "forty-five million, four hundred eleven thousand, two hundred".