45186240 has 168 divisors, whose sum is σ = 158099760. Its totient is φ = 10926080.

The previous prime is 45186233. The next prime is 45186247. The reversal of 45186240 is 4268154.

It is an interprime number because it is at equal distance from previous prime (45186233) and next prime (45186247).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45186198 and 45186207.

It is not an unprimeable number, because it can be changed into a prime (45186247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115966 + ... + 116354.

It is an arithmetic number, because the mean of its divisors is an integer number (941070).

Almost surely, 2^45186240 is an apocalyptic number.

45186240 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 45186240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79049880).

45186240 is an abundant number, since it is smaller than the sum of its proper divisors (112913520).

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

45186240 is a wasteful number, since it uses less digits than its factorization.

45186240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 45186240 is about 6722.0711094126. The cubic root of 45186240 is about 356.1793482545.

The spelling of 45186240 in words is "forty-five million, one hundred eighty-six thousand, two hundred forty".