45304448 has 64 divisors (see below), whose sum is σ = 105019200. Its totient is φ = 19064832.

The previous prime is 45304397. The next prime is 45304463. The reversal of 45304448 is 84440354.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×45304448³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52436 + ... + 53292.

It is an arithmetic number, because the mean of its divisors is an integer number (1640925).

Almost surely, 2^45304448 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 45304448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52509600).

45304448 is an abundant number, since it is smaller than the sum of its proper divisors (59714752).

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

45304448 is an equidigital number, since it uses as much as digits as its factorization.

45304448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 32.

The square root of 45304448 is about 6730.8578948006. The cubic root of 45304448 is about 356.4896682943.

The spelling of 45304448 in words is "forty-five million, three hundred four thousand, four hundred forty-eight".