45929376 has 192 divisors, whose sum is σ = 146966400. Its totient is φ = 13897728.

The previous prime is 45929369. The next prime is 45929381. The reversal of 45929376 is 67392954.

It is a happy number.

45929376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 778435 + ... + 778493.

It is an arithmetic number, because the mean of its divisors is an integer number (765450).

Almost surely, 2^45929376 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 45929376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73483200).

45929376 is an abundant number, since it is smaller than the sum of its proper divisors (101037024).

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

45929376 is a wasteful number, since it uses less digits than its factorization.

45929376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 134 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 45929376 is about 6777.1215128548. The cubic root of 45929376 is about 358.1213242133.

It can be divided in two parts, 459 and 29376, that multiplied together give a square (13483584 = 3672²).

The spelling of 45929376 in words is "forty-five million, nine hundred twenty-nine thousand, three hundred seventy-six".