45268896 has 96 divisors (see below), whose sum is σ = 123863040. Its totient is φ = 14466816.

The previous prime is 45268891. The next prime is 45268901. The reversal of 45268896 is 69886254.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45268891) and next prime (45268901).

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (45268891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 356385 + ... + 356511.

It is an arithmetic number, because the mean of its divisors is an integer number (1290240).

Almost surely, 2^45268896 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 45268896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61931520).

45268896 is an abundant number, since it is smaller than the sum of its proper divisors (78594144).

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

45268896 is a wasteful number, since it uses less digits than its factorization.

45268896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 45268896 is about 6728.2164055565. The cubic root of 45268896 is about 356.3963938815.

It can be divided in two parts, 45268 and 896, that added together give a palindrome (46164).

The spelling of 45268896 in words is "forty-five million, two hundred sixty-eight thousand, eight hundred ninety-six".