45462880 has 48 divisors (see below), whose sum is σ = 108183600. Its totient is φ = 18053632.

The previous prime is 45462871. The next prime is 45462889. The reversal of 45462880 is 8826454.

45462880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

45462880 is a nontrivial binomial coefficient, being equal to C(9536, 2).

It is an interprime number because it is at equal distance from previous prime (45462871) and next prime (45462889).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45462889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22887 + ... + 24793.

It is an arithmetic number, because the mean of its divisors is an integer number (2253825).

Almost surely, 2^45462880 is an apocalyptic number.

45462880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

45462880 is the 9535-th triangular number and also the 4768-th hexagonal number.

45462880 is the 3179-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45462880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54091800).

45462880 is an abundant number, since it is smaller than the sum of its proper divisors (62720720).

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

45462880 is a wasteful number, since it uses less digits than its factorization.

45462880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2071 (or 2063 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 45462880 is about 6742.6167027349. The cubic root of 45462880 is about 356.9047391033.

The spelling of 45462880 in words is "forty-five million, four hundred sixty-two thousand, eight hundred eighty".