45676500 has 96 divisors (see below), whose sum is σ = 136770816. Its totient is φ = 11836800.

The previous prime is 45676493. The next prime is 45676507. The reversal of 45676500 is 567654.

It is an interprime number because it is at equal distance from previous prime (45676493) and next prime (45676507).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45676507) 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, 55089 + ... + 55911.

It is an arithmetic number, because the mean of its divisors is an integer number (1424696).

Almost surely, 2^45676500 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 45676500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68385408).

45676500 is an abundant number, since it is smaller than the sum of its proper divisors (91094316).

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

45676500 is a wasteful number, since it uses less digits than its factorization.

45676500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 45676500 is about 6758.4391689206. The cubic root of 45676500 is about 357.4628712643.

The spelling of 45676500 in words is "forty-five million, six hundred seventy-six thousand, five hundred".