479970415620 has 384 divisors, whose sum is σ = 1652445204480. Its totient is φ = 115042498560.

The previous prime is 479970415619. The next prime is 479970415621. The reversal of 479970415620 is 26514079974.

479970415620 is a `hidden beast` number, since 4 + 7 + 9 + 9 + 7 + 0 + 4 + 1 + 5 + 620 = 666.

It is an interprime number because it is at equal distance from previous prime (479970415619) and next prime (479970415621).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (479970415621) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 171233139 + ... + 171235941.

It is an arithmetic number, because the mean of its divisors is an integer number (4303242720).

Almost surely, 2^479970415620 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 479970415620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826222602240).

479970415620 is an abundant number, since it is smaller than the sum of its proper divisors (1172474788860).

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

479970415620 is a wasteful number, since it uses less digits than its factorization.

479970415620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672 (or 3664 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 479970415620 in words is "four hundred seventy-nine billion, nine hundred seventy million, four hundred fifteen thousand, six hundred twenty".