402017616 has 240 divisors, whose sum is σ = 1511153280. Its totient is φ = 96353280.

The previous prime is 402017593. The next prime is 402017639. The reversal of 402017616 is 616710204.

402017616 is a `hidden beast` number, since 40 + 2 + 0 + 1 + 7 + 616 = 666.

It is an interprime number because it is at equal distance from previous prime (402017593) and next prime (402017639).

It is a self number, because there is not a number n which added to its sum of digits gives 402017616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142750 + ... + 145538.

It is an arithmetic number, because the mean of its divisors is an integer number (6296472).

Almost surely, 2^402017616 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 402017616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755576640).

402017616 is an abundant number, since it is smaller than the sum of its proper divisors (1109135664).

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

402017616 is a wasteful number, since it uses less digits than its factorization.

402017616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 402017616 is about 20050.3769540625. The cubic root of 402017616 is about 738.0430494640.

The spelling of 402017616 in words is "four hundred two million, seventeen thousand, six hundred sixteen".