45054576 has 160 divisors (see below), whose sum is σ = 151418880. Its totient is φ = 12559104.

The previous prime is 45054571. The next prime is 45054577. The reversal of 45054576 is 67545054.

45054576 = T₈₀ + T₈₁ + ... + T₆₄₆.

It is a happy number.

45054576 is a `hidden beast` number, since 45 + 0 + 545 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 45054576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45054571) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141970 + ... + 142286.

It is an arithmetic number, because the mean of its divisors is an integer number (946368).

Almost surely, 2^45054576 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 45054576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75709440).

45054576 is an abundant number, since it is smaller than the sum of its proper divisors (106364304).

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

45054576 is a wasteful number, since it uses less digits than its factorization.

45054576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 45054576 is about 6712.2705547378. The cubic root of 45054576 is about 355.8330656973.

The spelling of 45054576 in words is "forty-five million, fifty-four thousand, five hundred seventy-six".