45296000 has 128 divisors (see below), whose sum is σ = 119340000. Its totient is φ = 17049600.

The previous prime is 45295969. The next prime is 45296023. The reversal of 45296000 is 69254.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303926 + ... + 304074.

Almost surely, 2^45296000 is an apocalyptic number.

45296000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59670000).

45296000 is an abundant number, since it is smaller than the sum of its proper divisors (74044000).

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

45296000 is a wasteful number, since it uses less digits than its factorization.

45296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 45296000 is about 6730.2303080950. The cubic root of 45296000 is about 356.4675084987.

The spelling of 45296000 in words is "forty-five million, two hundred ninety-six thousand".