45781008 has 160 divisors (see below), whose sum is σ = 149323776. Its totient is φ = 11764224.

The previous prime is 45780997. The next prime is 45781009. The reversal of 45781008 is 80018754.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 45781008.

It is not an unprimeable number, because it can be changed into a prime (45781009) 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, 205185 + ... + 205407.

Almost surely, 2^45781008 is an apocalyptic number.

45781008 is a gapful number since it is divisible by the number (48) 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 45781008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74661888).

45781008 is an abundant number, since it is smaller than the sum of its proper divisors (103542768).

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

45781008 is a wasteful number, since it uses less digits than its factorization.

45781008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The square root of 45781008 is about 6766.1664182903. The cubic root of 45781008 is about 357.7352890602.

The spelling of 45781008 in words is "forty-five million, seven hundred eighty-one thousand, eight".