400272 has 40 divisors (see below), whose sum is σ = 1071360. Its totient is φ = 128640.

The previous prime is 400261. The next prime is 400277. The reversal of 400272 is 272004.

It is not an unprimeable number, because it can be changed into a prime (400277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1354 + ... + 1622.

It is an arithmetic number, because the mean of its divisors is an integer number (26784).

2⁴⁰⁰²⁷² 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 400272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535680).

400272 is an abundant number, since it is smaller than the sum of its proper divisors (671088).

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

400272 is a wasteful number, since it uses less digits than its factorization.

400272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 400272 is about 632.6705303711. The cubic root of 400272 is about 73.6973271315.

Adding to 400272 its reverse (272004), we get a palindrome (672276).

The spelling of 400272 in words is "four hundred thousand, two hundred seventy-two", and thus it is an iban number.