45527040 has 312 divisors, whose sum is σ = 178891440. Its totient is φ = 10616832.

The previous prime is 45526997. The next prime is 45527113. The reversal of 45527040 is 4072554.

45527040 is a `hidden beast` number, since 4 + 552 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (312).

It is a super-2 number, since 2×45527040² = 4145422742323200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45526995 and 45527013.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2396151 + ... + 2396169.

It is an arithmetic number, because the mean of its divisors is an integer number (573370).

Almost surely, 2^45527040 is an apocalyptic number.

45527040 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 45527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89445720).

45527040 is an abundant number, since it is smaller than the sum of its proper divisors (133364400).

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

45527040 is a wasteful number, since it uses less digits than its factorization.

45527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 45527040 is about 6747.3728220693. The cubic root of 45527040 is about 357.0725554576.

Adding to 45527040 its reverse (4072554), we get a palindrome (49599594).

It can be divided in two parts, 455 and 27040, that added together give a triangular number (27495 = T₂₃₄).

The spelling of 45527040 in words is "forty-five million, five hundred twenty-seven thousand, forty".