45562560 has 112 divisors (see below), whose sum is σ = 149425152. Its totient is φ = 11750400.

The previous prime is 45562553. The next prime is 45562579. The reversal of 45562560 is 6526554.

45562560 = 2246² + 2247² + ... + 2254².

It is a happy number.

45562560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28995 + ... + 30525.

Almost surely, 2^45562560 is an apocalyptic number.

45562560 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 45562560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74712576).

45562560 is an abundant number, since it is smaller than the sum of its proper divisors (103862592).

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

45562560 is a wasteful number, since it uses less digits than its factorization.

45562560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1582 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 45562560 is about 6750.0044444430. The cubic root of 45562560 is about 357.1653934731.

The spelling of 45562560 in words is "forty-five million, five hundred sixty-two thousand, five hundred sixty".