400202406 has 72 divisors (see below), whose sum is σ = 934347960. Its totient is φ = 123365376.

The previous prime is 400202399. The next prime is 400202441. The reversal of 400202406 is 604202004.

400202406 is a `hidden beast` number, since 400 + 20 + 240 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2879085 + ... + 2879223.

It is an arithmetic number, because the mean of its divisors is an integer number (12977055).

Almost surely, 2^400202406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400202406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (467173980).

400202406 is an abundant number, since it is smaller than the sum of its proper divisors (534145554).

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

400202406 is a wasteful number, since it uses less digits than its factorization.

400202406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 400202406 is about 20005.0595100340. The cubic root of 400202406 is about 736.9305571183.

The spelling of 400202406 in words is "four hundred million, two hundred two thousand, four hundred six".