45615440 has 80 divisors (see below), whose sum is σ = 119242368. Its totient is φ = 16101888.

The previous prime is 45615431. The next prime is 45615461. The reversal of 45615440 is 4451654.

It is a tau number, because it is divible by the number of its divisors (80).

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, 22967 + ... + 24873.

Almost surely, 2^45615440 is an apocalyptic number.

45615440 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 45615440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59621184).

45615440 is an abundant number, since it is smaller than the sum of its proper divisors (73626928).

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

45615440 is a wasteful number, since it uses less digits than its factorization.

45615440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 45615440 is about 6753.9203430304. The cubic root of 45615440 is about 357.3035156798.

It can be divided in two parts, 4561 and 5440, that added together give a palindrome (10001).

The spelling of 45615440 in words is "forty-five million, six hundred fifteen thousand, four hundred forty".