45790 has 16 divisors (see below), whose sum is σ = 87120. Its totient is φ = 17280.

The previous prime is 45779. The next prime is 45817. The reversal of 45790 is 9754.

45790 = 38² + 39² + ... + 57².

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70 + ... + 310.

It is an arithmetic number, because the mean of its divisors is an integer number (5445).

2⁴⁵⁷⁹⁰ is an apocalyptic number.

45790 is a deficient number, since it is larger than the sum of its proper divisors (41330).

45790 is a wasteful number, since it uses less digits than its factorization.

45790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267.

The product of its (nonzero) digits is 1260, while the sum is 25.

The square root of 45790 is about 213.9859808492. The cubic root of 45790 is about 35.7758708853.

The spelling of 45790 in words is "forty-five thousand, seven hundred ninety".