45396000 has 288 divisors, whose sum is σ = 175292208. Its totient is φ = 11059200.

The previous prime is 45395981. The next prime is 45396019. The reversal of 45396000 is 69354.

It is a happy number.

45396000 is a `hidden beast` number, since 4 + 53 + 9 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45395981) and next prime (45396019).

It can be written as a sum of positive squares in 8 ways, for example, as 76176 + 45319824 = 276^2 + 6732^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467952 + ... + 468048.

Almost surely, 2^45396000 is an apocalyptic number.

45396000 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 45396000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87646104).

45396000 is an abundant number, since it is smaller than the sum of its proper divisors (129896208).

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

45396000 is a wasteful number, since it uses less digits than its factorization.

45396000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 45396000 is about 6737.6553785423. The cubic root of 45396000 is about 356.7296401845.

The spelling of 45396000 in words is "forty-five million, three hundred ninety-six thousand".