45413784 has 112 divisors (see below), whose sum is σ = 137718000. Its totient is φ = 13950144.

The previous prime is 45413761. The next prime is 45413789. The reversal of 45413784 is 48731454.

45413784 is a `hidden beast` number, since 4 + 541 + 37 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45413789) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 75517 + ... + 76115.

It is an arithmetic number, because the mean of its divisors is an integer number (1229625).

Almost surely, 2^45413784 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 45413784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68859000).

45413784 is an abundant number, since it is smaller than the sum of its proper divisors (92304216).

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

45413784 is a wasteful number, since it uses less digits than its factorization.

45413784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 617 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 45413784 is about 6738.9749962439. The cubic root of 45413784 is about 356.7762173548.

The spelling of 45413784 in words is "forty-five million, four hundred thirteen thousand, seven hundred eighty-four".