45638500 has 48 divisors (see below), whose sum is σ = 100809072. Its totient is φ = 18048000.

The previous prime is 45638497. The next prime is 45638503. The reversal of 45638500 is 583654.

It is an interprime number because it is at equal distance from previous prime (45638497) and next prime (45638503).

It can be written as a sum of positive squares in 8 ways, for example, as 13307904 + 32330596 = 3648^2 + 5686^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45638503) 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, 48030 + ... + 48970.

It is an arithmetic number, because the mean of its divisors is an integer number (2100189).

Almost surely, 2^45638500 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 45638500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50404536).

45638500 is an abundant number, since it is smaller than the sum of its proper divisors (55170572).

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

45638500 is a wasteful number, since it uses less digits than its factorization.

45638500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 45638500 is about 6755.6272839759. The cubic root of 45638500 is about 357.3637148217.

The spelling of 45638500 in words is "forty-five million, six hundred thirty-eight thousand, five hundred".