45355360 has 48 divisors (see below), whose sum is σ = 107666496. Its totient is φ = 18055168.

The previous prime is 45355351. The next prime is 45355361. The reversal of 45355360 is 6355354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45355361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40569 + ... + 41671.

It is an arithmetic number, because the mean of its divisors is an integer number (2243052).

Almost surely, 2^45355360 is an apocalyptic number.

45355360 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 45355360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53833248).

45355360 is an abundant number, since it is smaller than the sum of its proper divisors (62311136).

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

45355360 is a wasteful number, since it uses less digits than its factorization.

45355360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 31.

The square root of 45355360 is about 6734.6388173383. The cubic root of 45355360 is about 356.6231563464.

The spelling of 45355360 in words is "forty-five million, three hundred fifty-five thousand, three hundred sixty".