45958176 has 144 divisors (see below), whose sum is σ = 145061280. Its totient is φ = 13685760.

The previous prime is 45958147. The next prime is 45958177. The reversal of 45958176 is 67185954.

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

It is a super-2 number, since 2×45958176² = 4224307882493952, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (45958177) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281871 + ... + 282033.

It is an arithmetic number, because the mean of its divisors is an integer number (1007370).

Almost surely, 2^45958176 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 45958176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72530640).

45958176 is an abundant number, since it is smaller than the sum of its proper divisors (99103104).

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

45958176 is a wasteful number, since it uses less digits than its factorization.

45958176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 268 counting only the distinct ones).

The product of its digits is 302400, while the sum is 45.

The square root of 45958176 is about 6779.2459757705. The cubic root of 45958176 is about 358.1961618590.

The spelling of 45958176 in words is "forty-five million, nine hundred fifty-eight thousand, one hundred seventy-six".