45146080 has 96 divisors (see below), whose sum is σ = 123125184. Its totient is φ = 15323136.

The previous prime is 45146077. The next prime is 45146093. The reversal of 45146080 is 8064154.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 193644 + ... + 193876.

It is an arithmetic number, because the mean of its divisors is an integer number (1282554).

Almost surely, 2^45146080 is an apocalyptic number.

45146080 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 45146080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61562592).

45146080 is an abundant number, since it is smaller than the sum of its proper divisors (77979104).

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

45146080 is a wasteful number, since it uses less digits than its factorization.

45146080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 45146080 is about 6719.0832708041. The cubic root of 45146080 is about 356.0737969303.

The spelling of 45146080 in words is "forty-five million, one hundred forty-six thousand, eighty".