45382512 has 80 divisors (see below), whose sum is σ = 138340352. Its totient is φ = 12545280.

The previous prime is 45382511. The next prime is 45382549. The reversal of 45382512 is 21528354.

It is a self number, because there is not a number n which added to its sum of digits gives 45382512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45382511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8238 + ... + 12594.

Almost surely, 2^45382512 is an apocalyptic number.

45382512 is a gapful number since it is divisible by the number (42) 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 45382512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69170176).

45382512 is an abundant number, since it is smaller than the sum of its proper divisors (92957840).

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

45382512 is a wasteful number, since it uses less digits than its factorization.

45382512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4406 (or 4400 counting only the distinct ones).

The product of its digits is 9600, while the sum is 30.

The square root of 45382512 is about 6736.6543625156. The cubic root of 45382512 is about 356.6943063372.

The spelling of 45382512 in words is "forty-five million, three hundred eighty-two thousand, five hundred twelve".