45261984 has 96 divisors (see below), whose sum is σ = 125024256. Its totient is φ = 14319360.

The previous prime is 45261977. The next prime is 45262031. The reversal of 45261984 is 48916254.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199279 + ... + 199505.

It is an arithmetic number, because the mean of its divisors is an integer number (1302336).

Almost surely, 2^45261984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45261984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62512128).

45261984 is an abundant number, since it is smaller than the sum of its proper divisors (79762272).

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

45261984 is a wasteful number, since it uses less digits than its factorization.

45261984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 45261984 is about 6727.7027282721. The cubic root of 45261984 is about 356.3782538525.

The spelling of 45261984 in words is "forty-five million, two hundred sixty-one thousand, nine hundred eighty-four".