45306624 has 144 divisors (see below), whose sum is σ = 136571904. Its totient is φ = 13209600.

The previous prime is 45306623. The next prime is 45306641. The reversal of 45306624 is 42660354.

It is a junction number, because it is equal to n+sod(n) for n = 45306591 and 45306600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45306623) 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, 261802 + ... + 261974.

It is an arithmetic number, because the mean of its divisors is an integer number (948416).

Almost surely, 2^45306624 is an apocalyptic number.

45306624 is a gapful number since it is divisible by the number (44) 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 45306624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68285952).

45306624 is an abundant number, since it is smaller than the sum of its proper divisors (91265280).

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

45306624 is a wasteful number, since it uses less digits than its factorization.

45306624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 234 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 45306624 is about 6731.0195364447. The cubic root of 45306624 is about 356.4953756743.

Adding to 45306624 its reverse (42660354), we get a palindrome (87966978).

The spelling of 45306624 in words is "forty-five million, three hundred six thousand, six hundred twenty-four".