45361440 has 216 divisors, whose sum is σ = 165945780. Its totient is φ = 11280384.

The previous prime is 45361429. The next prime is 45361441. The reversal of 45361440 is 4416354.

45361440 is a `hidden beast` number, since 4 + 5 + 3 + 614 + 40 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 36433296 + 8928144 = 6036^2 + 2988^2 .

It is not an unprimeable number, because it can be changed into a prime (45361441) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 416106 + ... + 416214.

Almost surely, 2^45361440 is an apocalyptic number.

45361440 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 45361440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82972890).

45361440 is an abundant number, since it is smaller than the sum of its proper divisors (120584340).

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

45361440 is a wasteful number, since it uses less digits than its factorization.

45361440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 45361440 is about 6735.0901998414. The cubic root of 45361440 is about 356.6390910446.

Adding to 45361440 its reverse (4416354), we get a palindrome (49777794).

The spelling of 45361440 in words is "forty-five million, three hundred sixty-one thousand, four hundred forty".