620478144 has 448 divisors, whose sum is σ = 2239426560. Its totient is φ = 167961600.

The previous prime is 620478137. The next prime is 620478169. The reversal of 620478144 is 441874026.

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

It is a junction number, because it is equal to n+sod(n) for n = 620478099 and 620478108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20015409 + ... + 20015439.

It is an arithmetic number, because the mean of its divisors is an integer number (4998720).

Almost surely, 2^620478144 is an apocalyptic number.

620478144 is a gapful number since it is divisible by the number (64) 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 620478144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119713280).

620478144 is an abundant number, since it is smaller than the sum of its proper divisors (1618948416).

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

620478144 is a wasteful number, since it uses less digits than its factorization.

620478144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 620478144 is about 24909.3987081182. The cubic root of 620478144 is about 852.9210432376.

It can be divided in two parts, 6204 and 78144, that added together give a palindrome (84348).

The spelling of 620478144 in words is "six hundred twenty million, four hundred seventy-eight thousand, one hundred forty-four".