45630000 has 300 divisors, whose sum is σ = 177224520. Its totient is φ = 11232000.

The previous prime is 45629993. The next prime is 45630017. The reversal of 45630000 is 3654.

It is a happy number.

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 is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3509994 + ... + 3510006.

Almost surely, 2^45630000 is an apocalyptic number.

45630000 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 45630000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88612260).

45630000 is an abundant number, since it is smaller than the sum of its proper divisors (131594520).

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

45630000 is a wasteful number, since it uses less digits than its factorization.

45630000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 45630000 is about 6754.9981495186. The cubic root of 45630000 is about 357.3415275589.

Adding to 45630000 its reverse (3654), we get a palindrome (45633654).

The spelling of 45630000 in words is "forty-five million, six hundred thirty thousand".