45450240 has 176 divisors, whose sum is σ = 159174720. Its totient is φ = 10977280.

The previous prime is 45450217. The next prime is 45450241. The reversal of 45450240 is 4205454.

It is a tau number, because it is divible by the number of its divisors (176).

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 45450240.

It is not an unprimeable number, because it can be changed into a prime (45450241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168826 + ... + 169094.

Almost surely, 2^45450240 is an apocalyptic number.

45450240 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 45450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79587360).

45450240 is an abundant number, since it is smaller than the sum of its proper divisors (113724480).

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

45450240 is a wasteful number, since it uses less digits than its factorization.

45450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 45450240 is about 6741.6793160162. The cubic root of 45450240 is about 356.8716594124.

Adding to 45450240 its reverse (4205454), we get a palindrome (49655694).

The spelling of 45450240 in words is "forty-five million, four hundred fifty thousand, two hundred forty".