45051600 has 120 divisors (see below), whose sum is σ = 157480992. Its totient is φ = 10918400.

The previous prime is 45051593. The next prime is 45051623. The reversal of 45051600 is 615054.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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, 11494 + ... + 14906.

Almost surely, 2^45051600 is an apocalyptic number.

45051600 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 45051600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78740496).

45051600 is an abundant number, since it is smaller than the sum of its proper divisors (112429392).

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

45051600 is a wasteful number, since it uses less digits than its factorization.

45051600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3445 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 45051600 is about 6712.0488675217. The cubic root of 45051600 is about 355.8252308844.

Adding to 45051600 its reverse (615054), we get a palindrome (45666654).

It can be divided in two parts, 4505 and 1600, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 45051600 in words is "forty-five million, fifty-one thousand, six hundred".