620476416 has 288 divisors, whose sum is σ = 2147418000. Its totient is φ = 176504832.

The previous prime is 620476393. The next prime is 620476427. The reversal of 620476416 is 614674026.

620476416 is a `hidden beast` number, since 6 + 2 + 0 + 4 + 7 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2709390 + ... + 2709618.

Almost surely, 2^620476416 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 620476416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1073709000).

620476416 is an abundant number, since it is smaller than the sum of its proper divisors (1526941584).

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

620476416 is a wasteful number, since it uses less digits than its factorization.

620476416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 620476416 is about 24909.3640223913. The cubic root of 620476416 is about 852.9202514563.

The spelling of 620476416 in words is "six hundred twenty million, four hundred seventy-six thousand, four hundred sixteen".