45480240 has 240 divisors, whose sum is σ = 169801632. Its totient is φ = 10838016.

The previous prime is 45480233. The next prime is 45480251. The reversal of 45480240 is 4208454.

It is a tau number, because it is divible by the number of its divisors (240).

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, 402424 + ... + 402536.

Almost surely, 2^45480240 is an apocalyptic number.

45480240 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 45480240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84900816).

45480240 is an abundant number, since it is smaller than the sum of its proper divisors (124321392).

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

45480240 is a wasteful number, since it uses less digits than its factorization.

45480240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 45480240 is about 6743.9039139062. The cubic root of 45480240 is about 356.9501613453.

Adding to 45480240 its reverse (4208454), we get a palindrome (49688694).

The spelling of 45480240 in words is "forty-five million, four hundred eighty thousand, two hundred forty".