45196880 has 80 divisors (see below), whose sum is σ = 112492800. Its totient is φ = 16828416.

The previous prime is 45196831. The next prime is 45196889. The reversal of 45196880 is 8869154.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45196889) 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 15 ways as a sum of consecutive naturals, for example, 227021 + ... + 227219.

It is an arithmetic number, because the mean of its divisors is an integer number (1406160).

Almost surely, 2^45196880 is an apocalyptic number.

45196880 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 45196880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56246400).

45196880 is an abundant number, since it is smaller than the sum of its proper divisors (67295920).

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

45196880 is a wasteful number, since it uses less digits than its factorization.

45196880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 45196880 is about 6722.8624855786. The cubic root of 45196880 is about 356.2073025672.

The spelling of 45196880 in words is "forty-five million, one hundred ninety-six thousand, eight hundred eighty".