45805240 has 64 divisors (see below), whose sum is σ = 112946400. Its totient is φ = 16614912.

The previous prime is 45805187. The next prime is 45805271. The reversal of 45805240 is 4250854.

It is a super-2 number, since 2×45805240² = 4196240022915200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45805199 and 45805208.

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, 29934 + ... + 31426.

Almost surely, 2^45805240 is an apocalyptic number.

45805240 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 45805240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56473200).

45805240 is an abundant number, since it is smaller than the sum of its proper divisors (67141160).

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

45805240 is a wasteful number, since it uses less digits than its factorization.

45805240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 45805240 is about 6767.9568556544. The cubic root of 45805240 is about 357.7983946500.

The spelling of 45805240 in words is "forty-five million, eight hundred five thousand, two hundred forty".