45058000 has 80 divisors (see below), whose sum is σ = 117398736. Its totient is φ = 16627200.

The previous prime is 45057997. The next prime is 45058001. The reversal of 45058000 is 85054.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 24482704 + 20575296 = 4948^2 + 4536^2 .

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 (45058001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25134 + ... + 26866.

Almost surely, 2^45058000 is an apocalyptic number.

45058000 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 45058000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58699368).

45058000 is an abundant number, since it is smaller than the sum of its proper divisors (72340736).

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

45058000 is a wasteful number, since it uses less digits than its factorization.

45058000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1769 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 45058000 is about 6712.5256051653. The cubic root of 45058000 is about 355.8420795176.

The spelling of 45058000 in words is "forty-five million, fifty-eight thousand".