45810240 has 224 divisors, whose sum is σ = 176442624. Its totient is φ = 9830400.

The previous prime is 45810211. The next prime is 45810241. The reversal of 45810240 is 4201854.

It is a tau number, because it is divible by the number of its divisors (224).

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 45810240.

It is not an unprimeable number, because it can be changed into a prime (45810241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114040 + ... + 114440.

Almost surely, 2^45810240 is an apocalyptic number.

45810240 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 45810240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88221312).

45810240 is an abundant number, since it is smaller than the sum of its proper divisors (130632384).

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

45810240 is a wasteful number, since it uses less digits than its factorization.

45810240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 45810240 is about 6768.3262332722. The cubic root of 45810240 is about 357.8114130069.

The spelling of 45810240 in words is "forty-five million, eight hundred ten thousand, two hundred forty".