45341600 has 108 divisors (see below), whose sum is σ = 117566694. Its totient is φ = 17072640.

The previous prime is 45341591. The next prime is 45341603. The reversal of 45341600 is 614354.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 29116816 + 16224784 = 5396^2 + 4028^2 .

It is not an unprimeable number, because it can be changed into a prime (45341603) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 288722 + ... + 288878.

Almost surely, 2^45341600 is an apocalyptic number.

45341600 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 45341600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58783347).

45341600 is an abundant number, since it is smaller than the sum of its proper divisors (72225094).

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

45341600 is a wasteful number, since it uses less digits than its factorization.

45341600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 45341600 is about 6733.6171557344. The cubic root of 45341600 is about 356.5870883495.

Adding to 45341600 its reverse (614354), we get a palindrome (45955954).

The spelling of 45341600 in words is "forty-five million, three hundred forty-one thousand, six hundred".