45340120 has 64 divisors (see below), whose sum is σ = 117702720. Its totient is φ = 15396864.

The previous prime is 45340111. The next prime is 45340129. The reversal of 45340120 is 2104354.

It is an interprime number because it is at equal distance from previous prime (45340111) and next prime (45340129).

It is a super-2 number, since 2×45340120² = 4111452963228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45340129) 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, 30924 + ... + 32356.

It is an arithmetic number, because the mean of its divisors is an integer number (1839105).

Almost surely, 2^45340120 is an apocalyptic number.

45340120 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 45340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58851360).

45340120 is an abundant number, since it is smaller than the sum of its proper divisors (72362600).

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

45340120 is a wasteful number, since it uses less digits than its factorization.

45340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1560 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 45340120 is about 6733.5072584798. The cubic root of 45340120 is about 356.5832085082.

Adding to 45340120 its reverse (2104354), we get a palindrome (47444474).

The spelling of 45340120 in words is "forty-five million, three hundred forty thousand, one hundred twenty".