45306240 has 128 divisors (see below), whose sum is σ = 165093120. Its totient is φ = 10352640.

The previous prime is 45306229. The next prime is 45306259. The reversal of 45306240 is 4260354.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 45306240.

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, 11755 + ... + 15125.

It is an arithmetic number, because the mean of its divisors is an integer number (1289790).

Almost surely, 2^45306240 is an apocalyptic number.

45306240 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 45306240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82546560).

45306240 is an abundant number, since it is smaller than the sum of its proper divisors (119786880).

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

45306240 is a wasteful number, since it uses less digits than its factorization.

45306240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 45306240 is about 6730.9910117307. The cubic root of 45306240 is about 356.4943685029.

Adding to 45306240 its reverse (4260354), we get a palindrome (49566594).

The spelling of 45306240 in words is "forty-five million, three hundred six thousand, two hundred forty".