45606288 has 160 divisors (see below), whose sum is σ = 148490496. Its totient is φ = 11741184.

The previous prime is 45606271. The next prime is 45606293. The reversal of 45606288 is 88260654.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231406 + ... + 231602.

Almost surely, 2^45606288 is an apocalyptic number.

45606288 is a gapful number since it is divisible by the number (48) 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 45606288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74245248).

45606288 is an abundant number, since it is smaller than the sum of its proper divisors (102884208).

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

45606288 is a wasteful number, since it uses less digits than its factorization.

45606288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 45606288 is about 6753.2427766222. The cubic root of 45606288 is about 357.2796183584.

The spelling of 45606288 in words is "forty-five million, six hundred six thousand, two hundred eighty-eight".