45208440 has 192 divisors, whose sum is σ = 159213600. Its totient is φ = 11083776.

The previous prime is 45208439. The next prime is 45208441. The reversal of 45208440 is 4480254.

It is an interprime number because it is at equal distance from previous prime (45208439) and next prime (45208441).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45208441) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 507916 + ... + 508004.

Almost surely, 2^45208440 is an apocalyptic number.

45208440 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 45208440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79606800).

45208440 is an abundant number, since it is smaller than the sum of its proper divisors (114005160).

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

45208440 is a wasteful number, since it uses less digits than its factorization.

45208440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 45208440 is about 6723.7221834338. The cubic root of 45208440 is about 356.2376690099.

Adding to 45208440 its reverse (4480254), we get a palindrome (49688694).

The spelling of 45208440 in words is "forty-five million, two hundred eight thousand, four hundred forty".