45415040 has 64 divisors (see below), whose sum is σ = 118458720. Its totient is φ = 16512000.

The previous prime is 45415037. The next prime is 45415043. The reversal of 45415040 is 4051454.

It is an interprime number because it is at equal distance from previous prime (45415037) and next prime (45415043).

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 45414997 and 45415015.

It is not an unprimeable number, because it can be changed into a prime (45415043) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3815 + ... + 10265.

Almost surely, 2^45415040 is an apocalyptic number.

45415040 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 45415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59229360).

45415040 is an abundant number, since it is smaller than the sum of its proper divisors (73043680).

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

45415040 is a wasteful number, since it uses less digits than its factorization.

45415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6481 (or 6469 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 23.

The square root of 45415040 is about 6739.0681848457. The cubic root of 45415040 is about 356.7795064208.

Adding to 45415040 its reverse (4051454), we get a palindrome (49466494).

The spelling of 45415040 in words is "forty-five million, four hundred fifteen thousand, forty".