45069024 has 288 divisors, whose sum is σ = 164094336. Its totient is φ = 10644480.

The previous prime is 45069001. The next prime is 45069043. The reversal of 45069024 is 42096054.

It is a junction number, because it is equal to n+sod(n) for n = 45068982 and 45069000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 672639 + ... + 672705.

It is an arithmetic number, because the mean of its divisors is an integer number (569772).

Almost surely, 2^45069024 is an apocalyptic number.

45069024 is a gapful number since it is divisible by the number (44) 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 45069024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82047168).

45069024 is an abundant number, since it is smaller than the sum of its proper divisors (119025312).

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

45069024 is a wasteful number, since it uses less digits than its factorization.

45069024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 45069024 is about 6713.3467063753. The cubic root of 45069024 is about 355.8710975477.

It can be divided in two parts, 4506 and 9024, that added together give a triangular number (13530 = T₁₆₄).

The spelling of 45069024 in words is "forty-five million, sixty-nine thousand, twenty-four".