45929268 has 180 divisors, whose sum is σ = 152947872. Its totient is φ = 11884320.

The previous prime is 45929263. The next prime is 45929281. The reversal of 45929268 is 86292954.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45929263) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 174505 + ... + 174767.

Almost surely, 2^45929268 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 45929268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76473936).

45929268 is an abundant number, since it is smaller than the sum of its proper divisors (107018604).

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

45929268 is a wasteful number, since it uses less digits than its factorization.

45929268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 286 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 45929268 is about 6777.1135448655. The cubic root of 45929268 is about 358.1210435132.

The spelling of 45929268 in words is "forty-five million, nine hundred twenty-nine thousand, two hundred sixty-eight".