45765990 has 48 divisors (see below), whose sum is σ = 120171168. Its totient is φ = 12083328.

The previous prime is 45765983. The next prime is 45765997. The reversal of 45765990 is 9956754.

45765990 = T₁₃₇ + T₁₃₈ + ... + T₆₅₁.

It is a happy number.

45765990 is a `hidden beast` number, since 4 + 57 + 6 + 599 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45765983) and next prime (45765997).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45765997) 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, 6802 + ... + 11738.

It is an arithmetic number, because the mean of its divisors is an integer number (2503566).

Almost surely, 2^45765990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45765990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60085584).

45765990 is an abundant number, since it is smaller than the sum of its proper divisors (74405178).

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

45765990 is a wasteful number, since it uses less digits than its factorization.

45765990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5053 (or 5050 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 45765990 is about 6765.0565407837. The cubic root of 45765990 is about 357.6961676256.

The spelling of 45765990 in words is "forty-five million, seven hundred sixty-five thousand, nine hundred ninety".