45468288 has 96 divisors (see below), whose sum is σ = 135450900. Its totient is φ = 14622720.

The previous prime is 45468287. The next prime is 45468307. The reversal of 45468288 is 88286454.

It can be written as a sum of positive squares in 2 ways, for example, as 44195904 + 1272384 = 6648^2 + 1128^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (45468287) 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, 32728 + ... + 34088.

Almost surely, 2^45468288 is an apocalyptic number.

45468288 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 45468288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67725450).

45468288 is an abundant number, since it is smaller than the sum of its proper divisors (89982612).

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

45468288 is a wasteful number, since it uses less digits than its factorization.

45468288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1395 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 45468288 is about 6743.0177220589. The cubic root of 45468288 is about 356.9188903134.

The spelling of 45468288 in words is "forty-five million, four hundred sixty-eight thousand, two hundred eighty-eight".