420152616 has 64 divisors (see below), whose sum is σ = 1256875200. Its totient is φ = 129276864.

The previous prime is 420152611. The next prime is 420152633. The reversal of 420152616 is 616251024.

420152616 is a `hidden beast` number, since 42 + 0 + 1 + 5 + 2 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 420152616.

It is not an unprimeable number, because it can be changed into a prime (420152611) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72006 + ... + 77621.

It is an arithmetic number, because the mean of its divisors is an integer number (19638675).

Almost surely, 2^420152616 is an apocalyptic number.

It is an amenable number.

420152616 is an abundant number, since it is smaller than the sum of its proper divisors (836722584).

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

420152616 is a wasteful number, since it uses less digits than its factorization.

420152616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149655 (or 149645 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 420152616 is about 20497.6246428702. The cubic root of 420152616 is about 748.9779358124.

The spelling of 420152616 in words is "four hundred twenty million, one hundred fifty-two thousand, six hundred sixteen".