400669152 has 96 divisors (see below), whose sum is σ = 1163407392. Its totient is φ = 119937024.

The previous prime is 400669151. The next prime is 400669153. The reversal of 400669152 is 251966004.

It is an interprime number because it is at equal distance from previous prime (400669151) and next prime (400669153).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400669151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41838 + ... + 50514.

It is an arithmetic number, because the mean of its divisors is an integer number (12118827).

Almost surely, 2^400669152 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 400669152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581703696).

400669152 is an abundant number, since it is smaller than the sum of its proper divisors (762738240).

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

400669152 is a wasteful number, since it uses less digits than its factorization.

400669152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8740 (or 8732 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 400669152 is about 20016.7218095272. The cubic root of 400669152 is about 737.2169336736.

The spelling of 400669152 in words is "four hundred million, six hundred sixty-nine thousand, one hundred fifty-two".