45374784 has 224 divisors, whose sum is σ = 153619200. Its totient is φ = 11741184.

The previous prime is 45374773. The next prime is 45374801. The reversal of 45374784 is 48747354.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 856102 + ... + 856154.

It is an arithmetic number, because the mean of its divisors is an integer number (685800).

Almost surely, 2^45374784 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 45374784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76809600).

45374784 is an abundant number, since it is smaller than the sum of its proper divisors (108244416).

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

45374784 is a wasteful number, since it uses less digits than its factorization.

45374784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 78 counting only the distinct ones).

The product of its digits is 376320, while the sum is 42.

The square root of 45374784 is about 6736.0807596109. The cubic root of 45374784 is about 356.6740585225.

The spelling of 45374784 in words is "forty-five million, three hundred seventy-four thousand, seven hundred eighty-four".