45001600 has 192 divisors, whose sum is σ = 132804000. Its totient is φ = 15052800.

The previous prime is 45001573. The next prime is 45001603. The reversal of 45001600 is 610054.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45001603) 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, 1097580 + ... + 1097620.

Almost surely, 2^45001600 is an apocalyptic number.

45001600 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 45001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66402000).

45001600 is an abundant number, since it is smaller than the sum of its proper divisors (87802400).

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

45001600 is an equidigital number, since it uses as much as digits as its factorization.

45001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 45001600 is about 6708.3231883981. The cubic root of 45001600 is about 355.6935459763.

Adding to 45001600 its reverse (610054), we get a palindrome (45611654).

The spelling of 45001600 in words is "forty-five million, one thousand, six hundred".