45971120 has 40 divisors (see below), whose sum is σ = 115107216. Its totient is φ = 16973568.

The previous prime is 45971099. The next prime is 45971129. The reversal of 45971120 is 2117954.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×45971120² = 4226687748108800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45971129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21062 + ... + 23141.

Almost surely, 2^45971120 is an apocalyptic number.

45971120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45971120 is an abundant number, since it is smaller than the sum of its proper divisors (69136096).

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

45971120 is a wasteful number, since it uses less digits than its factorization.

45971120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44229 (or 44223 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 29.

The square root of 45971120 is about 6780.2005870033. The cubic root of 45971120 is about 358.2297870396.

The spelling of 45971120 in words is "forty-five million, nine hundred seventy-one thousand, one hundred twenty".