401472 has 84 divisors (see below), whose sum is σ = 1248156. Its totient is φ = 122880.

The previous prime is 401417. The next prime is 401473. The reversal of 401472 is 274104.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 147456 + 254016 = 384^2 + 504^2 .

It is a super-2 number, since 2×401472² = 322359533568, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (401473) by changing a digit.

401472 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9772 + ... + 9812.

It is an arithmetic number, because the mean of its divisors is an integer number (14859).

2⁴⁰¹⁴⁷² 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 401472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624078).

401472 is an abundant number, since it is smaller than the sum of its proper divisors (846684).

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

401472 is a wasteful number, since it uses less digits than its factorization.

401472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 401472 is about 633.6181815573. The cubic root of 401472 is about 73.7709009036.

Adding to 401472 its reverse (274104), we get a palindrome (675576).

The spelling of 401472 in words is "four hundred one thousand, four hundred seventy-two", and thus it is an iban number.