45958276 has 72 divisors (see below), whose sum is σ = 106781976. Its totient is φ = 17095680.

The previous prime is 45958267. The next prime is 45958277. The reversal of 45958276 is 67285954.

It can be written as a sum of positive squares in 4 ways, for example, as 7840000 + 38118276 = 2800^2 + 6174^2 .

It is a super-2 number, since 2×45958276² = 4224326265784352, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45958277) 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, 42786 + ... + 43846.

It is an arithmetic number, because the mean of its divisors is an integer number (1483083).

Almost surely, 2^45958276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45958276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53390988).

45958276 is an abundant number, since it is smaller than the sum of its proper divisors (60823700).

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

45958276 is a wasteful number, since it uses less digits than its factorization.

45958276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1100 counting only the distinct ones).

The product of its digits is 604800, while the sum is 46.

The square root of 45958276 is about 6779.2533512180. The cubic root of 45958276 is about 358.1964216575.

The spelling of 45958276 in words is "forty-five million, nine hundred fifty-eight thousand, two hundred seventy-six".