45580600 has 96 divisors (see below), whose sum is σ = 116867520. Its totient is φ = 16427520.

The previous prime is 45580589. The next prime is 45580607. The reversal of 45580600 is 608554.

45580600 = T₂₉₆ + T₂₉₇ + ... + T₆₆₈.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45580607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122014 + ... + 122386.

It is an arithmetic number, because the mean of its divisors is an integer number (1217370).

Almost surely, 2^45580600 is an apocalyptic number.

45580600 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 45580600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58433760).

45580600 is an abundant number, since it is smaller than the sum of its proper divisors (71286920).

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

45580600 is a wasteful number, since it uses less digits than its factorization.

45580600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 449 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 45580600 is about 6751.3406076127. The cubic root of 45580600 is about 357.2125258373.

The spelling of 45580600 in words is "forty-five million, five hundred eighty thousand, six hundred".