45954880 has 28 divisors (see below), whose sum is σ = 109430820. Its totient is φ = 18381824.

The previous prime is 45954847. The next prime is 45954889. The reversal of 45954880 is 8845954.

It is a happy number.

45954880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12222016 + 33732864 = 3496^2 + 5808^2 .

It is a super-2 number, since 2×45954880² = 4223701991628800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45954889) 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 3 ways as a sum of consecutive naturals, for example, 71485 + ... + 72124.

Almost surely, 2^45954880 is an apocalyptic number.

45954880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45954880 is an abundant number, since it is smaller than the sum of its proper divisors (63475940).

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

45954880 is a wasteful number, since it uses less digits than its factorization.

45954880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143626 (or 143616 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The square root of 45954880 is about 6779.0028765299. The cubic root of 45954880 is about 358.1875986908.

The spelling of 45954880 in words is "forty-five million, nine hundred fifty-four thousand, eight hundred eighty".