45455085 has 72 divisors (see below), whose sum is σ = 87927840. Its totient is φ = 21700224.

The previous prime is 45455057. The next prime is 45455089. The reversal of 45455085 is 58055454.

45455085 = 185² + 186² + ... + 522².

It is not a de Polignac number, because 45455085 - 2⁹ = 45454573 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45455089) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 326946 + ... + 327084.

It is an arithmetic number, because the mean of its divisors is an integer number (1221220).

Almost surely, 2^45455085 is an apocalyptic number.

45455085 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

45455085 is a deficient number, since it is larger than the sum of its proper divisors (42472755).

45455085 is a wasteful number, since it uses less digits than its factorization.

45455085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 80000, while the sum is 36.

The square root of 45455085 is about 6742.0386382755. The cubic root of 45455085 is about 356.8843398130.

The spelling of 45455085 in words is "forty-five million, four hundred fifty-five thousand, eighty-five".