45368000 has 112 divisors (see below), whose sum is σ = 115543584. Its totient is φ = 17638400.

The previous prime is 45367997. The next prime is 45368003. The reversal of 45368000 is 86354.

It is an interprime number because it is at equal distance from previous prime (45367997) and next prime (45368003).

It is not an unprimeable number, because it can be changed into a prime (45368003) 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, 423947 + ... + 424053.

Almost surely, 2^45368000 is an apocalyptic number.

45368000 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 45368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57771792).

45368000 is an abundant number, since it is smaller than the sum of its proper divisors (70175584).

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

45368000 is a wasteful number, since it uses less digits than its factorization.

45368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 45368000 is about 6735.5771838796. The cubic root of 45368000 is about 356.6562821483.

The spelling of 45368000 in words is "forty-five million, three hundred sixty-eight thousand".