400352148 has 108 divisors (see below), whose sum is σ = 1193736180. Its totient is φ = 112783104.

The previous prime is 400352137. The next prime is 400352153. The reversal of 400352148 is 841253004.

It can be written as a sum of positive squares in 2 ways, for example, as 144288144 + 256064004 = 12012^2 + 16002^2 .

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, 127218 + ... + 130326.

Almost surely, 2^400352148 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 400352148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (596868090).

400352148 is an abundant number, since it is smaller than the sum of its proper divisors (793384032).

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

400352148 is a wasteful number, since it uses less digits than its factorization.

400352148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 400352148 is about 20008.8017632241. The cubic root of 400352148 is about 737.0224570284.

The spelling of 400352148 in words is "four hundred million, three hundred fifty-two thousand, one hundred forty-eight".