45414120 has 64 divisors (see below), whose sum is σ = 136768320. Its totient is φ = 12063744.

The previous prime is 45414113. The next prime is 45414137. The reversal of 45414120 is 2141454.

It is a happy number.

It is a Cunningham number, because it is equal to 6739²-1.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39879 + ... + 41001.

It is an arithmetic number, because the mean of its divisors is an integer number (2137005).

Almost surely, 2^45414120 is an apocalyptic number.

45414120 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 45414120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68384160).

45414120 is an abundant number, since it is smaller than the sum of its proper divisors (91354200).

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

45414120 is a wasteful number, since it uses less digits than its factorization.

45414120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1474 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 45414120 is about 6738.9999258050. Note that the first 4 decimals coincide. The cubic root of 45414120 is about 356.7770972383. Note that the first 3 decimals are identical.

Adding to 45414120 its reverse (2141454), we get a palindrome (47555574).

The spelling of 45414120 in words is "forty-five million, four hundred fourteen thousand, one hundred twenty".