45796000 has 72 divisors (see below), whose sum is σ = 113582196. Its totient is φ = 18147200.

The previous prime is 45795961. The next prime is 45796031. The reversal of 45796000 is 69754.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 30958096 + 14837904 = 5564^2 + 3852^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 427947 + ... + 428053.

Almost surely, 2^45796000 is an apocalyptic number.

45796000 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 45796000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56791098).

45796000 is an abundant number, since it is smaller than the sum of its proper divisors (67786196).

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

45796000 is an equidigital number, since it uses as much as digits as its factorization.

45796000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 45796000 is about 6767.2741927603. The cubic root of 45796000 is about 357.7743342332.

The spelling of 45796000 in words is "forty-five million, seven hundred ninety-six thousand".