45265600 has 84 divisors (see below), whose sum is σ = 117322600. Its totient is φ = 17141760.

The previous prime is 45265547. The next prime is 45265603. The reversal of 45265600 is 656254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45265603) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 29656 + ... + 31144.

Almost surely, 2^45265600 is an apocalyptic number.

45265600 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 45265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58661300).

45265600 is an abundant number, since it is smaller than the sum of its proper divisors (72057000).

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

45265600 is a wasteful number, since it uses less digits than its factorization.

45265600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 45265600 is about 6727.9714624841. The cubic root of 45265600 is about 356.3877440054.

The spelling of 45265600 in words is "forty-five million, two hundred sixty-five thousand, six hundred".