420615936 has 288 divisors, whose sum is σ = 1391882240. Its totient is φ = 124416000.

The previous prime is 420615931. The next prime is 420615941. The reversal of 420615936 is 639516024.

420615936 = 76³ + 77³ + ... + 203³.

It is a happy number.

420615936 is a `hidden beast` number, since 4 + 2 + 0 + 61 + 593 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (420615931) and next prime (420615941).

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 self number, because there is not a number n which added to its sum of digits gives 420615936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420615931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2785461 + ... + 2785611.

Almost surely, 2^420615936 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 420615936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695941120).

420615936 is an abundant number, since it is smaller than the sum of its proper divisors (971266304).

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

420615936 is a wasteful number, since it uses less digits than its factorization.

420615936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 420615936 is about 20508.9233262012. The cubic root of 420615936 is about 749.2531445227.

The spelling of 420615936 in words is "four hundred twenty million, six hundred fifteen thousand, nine hundred thirty-six".