400239252 has 144 divisors (see below), whose sum is σ = 1230707520. Its totient is φ = 112117824.

The previous prime is 400239251. The next prime is 400239271. The reversal of 400239252 is 252932004.

400239252 is a `hidden beast` number, since 400 + 2 + 3 + 9 + 252 = 666.

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 (400239251) 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, 279763 + ... + 281189.

It is an arithmetic number, because the mean of its divisors is an integer number (8546580).

Almost surely, 2^400239252 is an apocalyptic number.

400239252 is a gapful number since it is divisible by the number (42) 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 400239252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615353760).

400239252 is an abundant number, since it is smaller than the sum of its proper divisors (830468268).

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

400239252 is a wasteful number, since it uses less digits than its factorization.

400239252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 400239252 is about 20005.9804058686. The cubic root of 400239252 is about 736.9531724330.

The spelling of 400239252 in words is "four hundred million, two hundred thirty-nine thousand, two hundred fifty-two".