405902016 has 280 divisors, whose sum is σ = 1368277680. Its totient is φ = 117946368.

The previous prime is 405901987. The next prime is 405902023. The reversal of 405902016 is 610209504.

405902016 = 245³ + 246³ + ... + 268³.

405902016 is a `hidden beast` number, since 40 + 590 + 20 + 16 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1280290 + ... + 1280606.

It is an arithmetic number, because the mean of its divisors is an integer number (4886706).

Almost surely, 2^405902016 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 405902016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684138840).

405902016 is an abundant number, since it is smaller than the sum of its proper divisors (962375664).

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

405902016 is a wasteful number, since it uses less digits than its factorization.

405902016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 405902016 is about 20147.0101007569. The cubic root of 405902016 is about 740.4124897746.

The spelling of 405902016 in words is "four hundred five million, nine hundred two thousand, sixteen".