45526500 has 144 divisors (see below), whose sum is σ = 146729856. Its totient is φ = 11880000.

The previous prime is 45526483. The next prime is 45526517. The reversal of 45526500 is 562554.

45526500 is a `hidden beast` number, since 4 + 5 + 5 + 2 + 650 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (45526483) and next prime (45526517).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 301425 + ... + 301575.

Almost surely, 2^45526500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45526500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73364928).

45526500 is an abundant number, since it is smaller than the sum of its proper divisors (101203356).

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

45526500 is a wasteful number, since it uses less digits than its factorization.

45526500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 45526500 is about 6747.3328063762. The cubic root of 45526500 is about 357.0711436963.

The spelling of 45526500 in words is "forty-five million, five hundred twenty-six thousand, five hundred".