45916520 has 32 divisors (see below), whose sum is σ = 111260520. Its totient is φ = 16953600.

The previous prime is 45916517. The next prime is 45916529. The reversal of 45916520 is 2561954.

45916520 = T₃₇₉ + T₃₈₀ + ... + T₆₉₀.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 28494244 + 17422276 = 5338^2 + 4174^2 .

It is not an unprimeable number, because it can be changed into a prime (45916529) 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, 43631 + ... + 44670.

Almost surely, 2^45916520 is an apocalyptic number.

45916520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45916520 is an abundant number, since it is smaller than the sum of its proper divisors (65344000).

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

45916520 is a wasteful number, since it uses less digits than its factorization.

45916520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88325 (or 88321 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The square root of 45916520 is about 6776.1729611928. The cubic root of 45916520 is about 358.0879074201.

It can be divided in two parts, 4591 and 6520, that added together give a palindrome (11111).

The spelling of 45916520 in words is "forty-five million, nine hundred sixteen thousand, five hundred twenty".