45958608 has 60 divisors (see below), whose sum is σ = 129411360. Its totient is φ = 15225408.

The previous prime is 45958589. The next prime is 45958637. The reversal of 45958608 is 80685954.

45958608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45958608² = 4224387298595328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 24885 + ... + 26667.

It is an arithmetic number, because the mean of its divisors is an integer number (2156856).

Almost surely, 2^45958608 is an apocalyptic number.

45958608 is a gapful number since it is divisible by the number (48) 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 45958608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64705680).

45958608 is an abundant number, since it is smaller than the sum of its proper divisors (83452752).

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

45958608 is a wasteful number, since it uses less digits than its factorization.

45958608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1976 (or 1967 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 45958608 is about 6779.2778376461. The cubic root of 45958608 is about 358.1972841857.

It can be divided in two parts, 4595 and 8608, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 45958608 in words is "forty-five million, nine hundred fifty-eight thousand, six hundred eight".