45321120 has 240 divisors, whose sum is σ = 172889640. Its totient is φ = 11114496.

The previous prime is 45321119. The next prime is 45321121. The reversal of 45321120 is 2112354.

45321120 is a `hidden beast` number, since 453 + 211 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45321119) and next prime (45321121).

It can be written as a sum of positive squares in 4 ways, for example, as 16548624 + 28772496 = 4068^2 + 5364^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 45321093 and 45321102.

It is not an unprimeable number, because it can be changed into a prime (45321121) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 168346 + ... + 168614.

Almost surely, 2^45321120 is an apocalyptic number.

45321120 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 45321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86444820).

45321120 is an abundant number, since it is smaller than the sum of its proper divisors (127568520).

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

45321120 is a wasteful number, since it uses less digits than its factorization.

45321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 45321120 is about 6732.0962559963. The cubic root of 45321120 is about 356.5333922339.

Adding to 45321120 its reverse (2112354), we get a palindrome (47433474).

The spelling of 45321120 in words is "forty-five million, three hundred twenty-one thousand, one hundred twenty".