45984016 has 20 divisors (see below), whose sum is σ = 95947852. Its totient is φ = 21223296.

The previous prime is 45984011. The next prime is 45984077. The reversal of 45984016 is 61048954.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 12390400 + 33593616 = 3520^2 + 5796^2 .

It is a super-2 number, since 2×45984016² = 4229059454976512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45984011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 110331 + ... + 110746.

Almost surely, 2^45984016 is an apocalyptic number.

It is an amenable number.

45984016 is an abundant number, since it is smaller than the sum of its proper divisors (49963836).

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

45984016 is a wasteful number, since it uses less digits than its factorization.

45984016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221098 (or 221092 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 45984016 is about 6781.1515246306. The cubic root of 45984016 is about 358.2632812523.

The spelling of 45984016 in words is "forty-five million, nine hundred eighty-four thousand, sixteen".