45015840 has 144 divisors (see below), whose sum is σ = 157405248. Its totient is φ = 11708928.

The previous prime is 45015829. The next prime is 45015851. The reversal of 45015840 is 4851054.

It is an interprime number because it is at equal distance from previous prime (45015829) and next prime (45015851).

It is a tau number, because it is divible by the number of its divisors (144).

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, 61557 + ... + 62283.

It is an arithmetic number, because the mean of its divisors is an integer number (1093092).

Almost surely, 2^45015840 is an apocalyptic number.

45015840 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 45015840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78702624).

45015840 is an abundant number, since it is smaller than the sum of its proper divisors (112389408).

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

45015840 is a wasteful number, since it uses less digits than its factorization.

45015840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 780 counting only the distinct ones).

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

The square root of 45015840 is about 6709.3844725131. The cubic root of 45015840 is about 355.7310597679.

Adding to 45015840 its reverse (4851054), we get a palindrome (49866894).

It can be divided in two parts, 450 and 15840, that added together give a triangular number (16290 = T₁₈₀).

The spelling of 45015840 in words is "forty-five million, fifteen thousand, eight hundred forty".