45483984 has 240 divisors, whose sum is σ = 163382400. Its totient is φ = 11860992.

The previous prime is 45483983. The next prime is 45484001. The reversal of 45483984 is 48938454.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45483983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 511012 + ... + 511100.

It is an arithmetic number, because the mean of its divisors is an integer number (680760).

Almost surely, 2^45483984 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 45483984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81691200).

45483984 is an abundant number, since it is smaller than the sum of its proper divisors (117898416).

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

45483984 is a wasteful number, since it uses less digits than its factorization.

45483984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 114 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 45483984 is about 6744.1814922198. The cubic root of 45483984 is about 356.9599559633.

The spelling of 45483984 in words is "forty-five million, four hundred eighty-three thousand, nine hundred eighty-four".