45902880 has 144 divisors (see below), whose sum is σ = 158505984. Its totient is φ = 12096000.

The previous prime is 45902869. The next prime is 45902881. The reversal of 45902880 is 8820954.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (45902881) 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, 182755 + ... + 183005.

It is an arithmetic number, because the mean of its divisors is an integer number (1100736).

Almost surely, 2^45902880 is an apocalyptic number.

45902880 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 45902880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79252992).

45902880 is an abundant number, since it is smaller than the sum of its proper divisors (112603104).

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

45902880 is a wasteful number, since it uses less digits than its factorization.

45902880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 45902880 is about 6775.1664186203. The cubic root of 45902880 is about 358.0524459436.

The spelling of 45902880 in words is "forty-five million, nine hundred two thousand, eight hundred eighty".