45263680 has 168 divisors, whose sum is σ = 136209024. Its totient is φ = 14023680.

The previous prime is 45263671. The next prime is 45263683. The reversal of 45263680 is 8636254.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45263683) 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 23 ways as a sum of consecutive naturals, for example, 270957 + ... + 271123.

It is an arithmetic number, because the mean of its divisors is an integer number (810768).

Almost surely, 2^45263680 is an apocalyptic number.

45263680 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 45263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68104512).

45263680 is an abundant number, since it is smaller than the sum of its proper divisors (90945344).

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

45263680 is a wasteful number, since it uses less digits than its factorization.

45263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 45263680 is about 6727.8287730887. The cubic root of 45263680 is about 356.3827050491.

The spelling of 45263680 in words is "forty-five million, two hundred sixty-three thousand, six hundred eighty".