400406202 has 96 divisors (see below), whose sum is σ = 1069915392. Its totient is φ = 105610752.

The previous prime is 400406197. The next prime is 400406221. The reversal of 400406202 is 202604004.

400406202 is a `hidden beast` number, since 4 + 0 + 0 + 40 + 620 + 2 = 666.

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

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, 111763 + ... + 115289.

It is an arithmetic number, because the mean of its divisors is an integer number (11144952).

Almost surely, 2^400406202 is an apocalyptic number.

400406202 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 400406202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (534957696).

400406202 is an abundant number, since it is smaller than the sum of its proper divisors (669509190).

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

400406202 is a wasteful number, since it uses less digits than its factorization.

400406202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3612 (or 3609 counting only the distinct ones).

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

The square root of 400406202 is about 20010.1524731822. The cubic root of 400406202 is about 737.0556255104.

The spelling of 400406202 in words is "four hundred million, four hundred six thousand, two hundred two".