45469600 has 72 divisors (see below), whose sum is σ = 121117248. Its totient is φ = 16531200.

The previous prime is 45469579. The next prime is 45469609. The reversal of 45469600 is 696454.

It is not an unprimeable number, because it can be changed into a prime (45469609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6217 + ... + 11383.

It is an arithmetic number, because the mean of its divisors is an integer number (1682184).

Almost surely, 2^45469600 is an apocalyptic number.

45469600 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 45469600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60558624).

45469600 is an abundant number, since it is smaller than the sum of its proper divisors (75647648).

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

45469600 is a wasteful number, since it uses less digits than its factorization.

45469600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5198 (or 5185 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 45469600 is about 6743.1150071758. The cubic root of 45469600 is about 356.9223232781.

The spelling of 45469600 in words is "forty-five million, four hundred sixty-nine thousand, six hundred".