45467520 has 256 divisors, whose sum is σ = 176256000. Its totient is φ = 9732096.

The previous prime is 45467507. The next prime is 45467531. The reversal of 45467520 is 2576454.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228381 + ... + 228579.

It is an arithmetic number, because the mean of its divisors is an integer number (688500).

Almost surely, 2^45467520 is an apocalyptic number.

45467520 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 45467520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88128000).

45467520 is an abundant number, since it is smaller than the sum of its proper divisors (130788480).

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

45467520 is a wasteful number, since it uses less digits than its factorization.

45467520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 33.

The square root of 45467520 is about 6742.9607740220. The cubic root of 45467520 is about 356.9168807425.

The spelling of 45467520 in words is "forty-five million, four hundred sixty-seven thousand, five hundred twenty".