45815040 has 216 divisors, whose sum is σ = 164055528. Its totient is φ = 11796480.

The previous prime is 45815027. The next prime is 45815089. The reversal of 45815040 is 4051854.

It can be written as a sum of positive squares in 4 ways, for example, as 9216 + 45805824 = 96^2 + 6768^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45814995 and 45815013.

It is a congruent number.

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, 472272 + ... + 472368.

Almost surely, 2^45815040 is an apocalyptic number.

45815040 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 45815040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82027764).

45815040 is an abundant number, since it is smaller than the sum of its proper divisors (118240488).

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

45815040 is a wasteful number, since it uses less digits than its factorization.

45815040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 45815040 is about 6768.6808168210. The cubic root of 45815040 is about 357.8239097383.

Adding to 45815040 its reverse (4051854), we get a palindrome (49866894).

The spelling of 45815040 in words is "forty-five million, eight hundred fifteen thousand, forty".