45437760 has 140 divisors (see below), whose sum is σ = 161722308. Its totient is φ = 12109824.

The previous prime is 45437747. The next prime is 45437761. The reversal of 45437760 is 6773454.

It can be written as a sum of positive squares in 2 ways, for example, as 7096896 + 38340864 = 2664^2 + 6192^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45437761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25044 + ... + 26796.

Almost surely, 2^45437760 is an apocalyptic number.

45437760 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 45437760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80861154).

45437760 is an abundant number, since it is smaller than the sum of its proper divisors (116284548).

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

45437760 is a wasteful number, since it uses less digits than its factorization.

45437760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1763 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 45437760 is about 6740.7536670613. The cubic root of 45437760 is about 356.8389924340.

The spelling of 45437760 in words is "forty-five million, four hundred thirty-seven thousand, seven hundred sixty".