45228456 has 240 divisors, whose sum is σ = 159429600. Its totient is φ = 11726208.

The previous prime is 45228437. The next prime is 45228457. The reversal of 45228456 is 65482254.

It is a happy number.

45228456 is a `hidden beast` number, since 4 + 522 + 84 + 56 = 666.

It is a super-2 number, since 2×45228456² = 4091226464287872, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45228456.

It is not an unprimeable number, because it can be changed into a prime (45228457) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 766555 + ... + 766613.

It is an arithmetic number, because the mean of its divisors is an integer number (664290).

Almost surely, 2^45228456 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 45228456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79714800).

45228456 is an abundant number, since it is smaller than the sum of its proper divisors (114201144).

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

45228456 is a wasteful number, since it uses less digits than its factorization.

45228456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 84 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 45228456 is about 6725.2104799776. The cubic root of 45228456 is about 356.2902358987.

The spelling of 45228456 in words is "forty-five million, two hundred twenty-eight thousand, four hundred fifty-six".