45050880 has 176 divisors, whose sum is σ = 165070080. Its totient is φ = 10272768.

The previous prime is 45050869. The next prime is 45050893. The reversal of 45050880 is 8805054.

It is a super-3 number, since 3×45050880³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107311 + ... + 107729.

Almost surely, 2^45050880 is an apocalyptic number.

45050880 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 45050880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82535040).

45050880 is an abundant number, since it is smaller than the sum of its proper divisors (120019200).

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

45050880 is a wasteful number, since it uses less digits than its factorization.

45050880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 45050880 is about 6711.9952324179. The cubic root of 45050880 is about 355.8233353133.

The spelling of 45050880 in words is "forty-five million, fifty thousand, eight hundred eighty".