45314120 has 32 divisors (see below), whose sum is σ = 102713400. Its totient is φ = 17991168.

The previous prime is 45314119. The next prime is 45314123. The reversal of 45314120 is 2141354.

It can be written as a sum of positive squares in 4 ways, for example, as 44009956 + 1304164 = 6634^2 + 1142^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 45314092 and 45314101.

It is not an unprimeable number, because it can be changed into a prime (45314123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1346 + ... + 9614.

Almost surely, 2^45314120 is an apocalyptic number.

45314120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45314120 is an abundant number, since it is smaller than the sum of its proper divisors (57399280).

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

45314120 is a wasteful number, since it uses less digits than its factorization.

45314120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8417 (or 8413 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 45314120 is about 6731.5763384218. The cubic root of 45314120 is about 356.5150353601.

Adding to 45314120 its reverse (2141354), we get a palindrome (47455474).

The spelling of 45314120 in words is "forty-five million, three hundred fourteen thousand, one hundred twenty".