400790208 has 336 divisors, whose sum is σ = 1386413280. Its totient is φ = 101154816.

The previous prime is 400790167. The next prime is 400790209. The reversal of 400790208 is 802097004.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400790209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3546760 + ... + 3546872.

It is an arithmetic number, because the mean of its divisors is an integer number (4126230).

Almost surely, 2^400790208 is an apocalyptic number.

400790208 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400790208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693206640).

400790208 is an abundant number, since it is smaller than the sum of its proper divisors (985623072).

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

400790208 is a wasteful number, since it uses less digits than its factorization.

400790208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 400790208 is about 20019.7454529272. The cubic root of 400790208 is about 737.2911724366.

The spelling of 400790208 in words is "four hundred million, seven hundred ninety thousand, two hundred eight".