45414468 has 72 divisors (see below), whose sum is σ = 127030176. Its totient is φ = 13564800.

The previous prime is 45414461. The next prime is 45414487. The reversal of 45414468 is 86441454.

It is a happy number.

45414468 is a `hidden beast` number, since 454 + 144 + 68 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45414461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28123 + ... + 29693.

It is an arithmetic number, because the mean of its divisors is an integer number (1764308).

Almost surely, 2^45414468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45414468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63515088).

45414468 is an abundant number, since it is smaller than the sum of its proper divisors (81615708).

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

45414468 is a wasteful number, since it uses less digits than its factorization.

45414468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1660 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 45414468 is about 6739.0257456104. The cubic root of 45414468 is about 356.7780085416.

It can be divided in two parts, 4541446 and 8, that added together give a palindrome (4541454).

The spelling of 45414468 in words is "forty-five million, four hundred fourteen thousand, four hundred sixty-eight".