45354240 has 216 divisors, whose sum is σ = 163258368. Its totient is φ = 11612160.

The previous prime is 45354233. The next prime is 45354247. The reversal of 45354240 is 4245354.

It is an interprime number because it is at equal distance from previous prime (45354233) and next prime (45354247).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45354247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357057 + ... + 357183.

Almost surely, 2^45354240 is an apocalyptic number.

45354240 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 45354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81629184).

45354240 is an abundant number, since it is smaller than the sum of its proper divisors (117904128).

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

45354240 is a wasteful number, since it uses less digits than its factorization.

45354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 45354240 is about 6734.5556646300. Note that the first 3 decimals coincide. The cubic root of 45354240 is about 356.6202208520.

Adding to 45354240 its reverse (4245354), we get a palindrome (49599594).

The spelling of 45354240 in words is "forty-five million, three hundred fifty-four thousand, two hundred forty".