45776352 has 48 divisors (see below), whose sum is σ = 122148432. Its totient is φ = 15006720.

The previous prime is 45776351. The next prime is 45776369. The reversal of 45776352 is 25367754.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 45776352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45776351) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1948 + ... + 9764.

It is an arithmetic number, because the mean of its divisors is an integer number (2544759).

Almost surely, 2^45776352 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 45776352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61074216).

45776352 is an abundant number, since it is smaller than the sum of its proper divisors (76372080).

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

45776352 is a wasteful number, since it uses less digits than its factorization.

45776352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7891 (or 7883 counting only the distinct ones).

The product of its digits is 176400, while the sum is 39.

The square root of 45776352 is about 6765.8223446969. The cubic root of 45776352 is about 357.7231612366.

The spelling of 45776352 in words is "forty-five million, seven hundred seventy-six thousand, three hundred fifty-two".