45232320 has 224 divisors, whose sum is σ = 168542208. Its totient is φ = 10063872.

The previous prime is 45232279. The next prime is 45232321. The reversal of 45232320 is 2323254.

45232320 = 274² + 275² + ... + 538².

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (45232321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356097 + ... + 356223.

Almost surely, 2^45232320 is an apocalyptic number.

45232320 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 45232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84271104).

45232320 is an abundant number, since it is smaller than the sum of its proper divisors (123309888).

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

45232320 is a wasteful number, since it uses less digits than its factorization.

45232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 21.

The square root of 45232320 is about 6725.4977510962. The cubic root of 45232320 is about 356.3003819173.

Adding to 45232320 its reverse (2323254), we get a palindrome (47555574).

The spelling of 45232320 in words is "forty-five million, two hundred thirty-two thousand, three hundred twenty".