45680448 has 112 divisors (see below), whose sum is σ = 135184896. Its totient is φ = 13493760.

The previous prime is 45680443. The next prime is 45680449. The reversal of 45680448 is 84408654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45680441) 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, 90565 + ... + 91067.

It is an arithmetic number, because the mean of its divisors is an integer number (1207008).

Almost surely, 2^45680448 is an apocalyptic number.

45680448 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 45680448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67592448).

45680448 is an abundant number, since it is smaller than the sum of its proper divisors (89504448).

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

45680448 is a wasteful number, since it uses less digits than its factorization.

45680448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 39.

The square root of 45680448 is about 6758.7312418826. The cubic root of 45680448 is about 357.4731699427.

The spelling of 45680448 in words is "forty-five million, six hundred eighty thousand, four hundred forty-eight".