620448 has 48 divisors (see below), whose sum is σ = 1705536. Its totient is φ = 197120.

The previous prime is 620441. The next prime is 620461. The reversal of 620448 is 844026.

620448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 620448.

It is not an unprimeable number, because it can be changed into a prime (620441) by changing a digit.

620448 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2068 + ... + 2348.

It is an arithmetic number, because the mean of its divisors is an integer number (35532).

2⁶²⁰⁴⁴⁸ 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 620448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (852768).

620448 is an abundant number, since it is smaller than the sum of its proper divisors (1085088).

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

620448 is a wasteful number, since it uses less digits than its factorization.

620448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 620448 is about 787.6852163142. The cubic root of 620448 is about 85.2907230842.

620448 divided by its sum of digits (24) gives a palindrome (25852).

It can be divided in two parts, 6204 and 48, that multiplied together give a palindrome (297792).

The spelling of 620448 in words is "six hundred twenty thousand, four hundred forty-eight".