45627000 has 128 divisors (see below), whose sum is σ = 145117440. Its totient is φ = 11932800.

The previous prime is 45626993. The next prime is 45627013. The reversal of 45627000 is 72654.

It is a happy number.

45627000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 200887 + ... + 201113.

It is an arithmetic number, because the mean of its divisors is an integer number (1133730).

Almost surely, 2^45627000 is an apocalyptic number.

45627000 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 45627000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72558720).

45627000 is an abundant number, since it is smaller than the sum of its proper divisors (99490440).

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

45627000 is a wasteful number, since it uses less digits than its factorization.

45627000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 45627000 is about 6754.7760880728. The cubic root of 45627000 is about 357.3336961025. Note that the first 3 decimals are identical.

Adding to 45627000 its reverse (72654), we get a palindrome (45699654).

The spelling of 45627000 in words is "forty-five million, six hundred twenty-seven thousand".