400283208 has 192 divisors, whose sum is σ = 1240162560. Its totient is φ = 120185856.

The previous prime is 400283183. The next prime is 400283209. The reversal of 400283208 is 802382004.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400283209) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1187616 + ... + 1187952.

It is an arithmetic number, because the mean of its divisors is an integer number (6459180).

Almost surely, 2^400283208 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 400283208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620081280).

400283208 is an abundant number, since it is smaller than the sum of its proper divisors (839879352).

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

400283208 is a wasteful number, since it uses less digits than its factorization.

400283208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 400283208 is about 20007.0789472127. The cubic root of 400283208 is about 736.9801499035.

The spelling of 400283208 in words is "four hundred million, two hundred eighty-three thousand, two hundred eight".