401345672 has 64 divisors (see below), whose sum is σ = 945168000. Its totient is φ = 158760000.

The previous prime is 401345669. The next prime is 401345677. The reversal of 401345672 is 276543104.

It is a super-2 number, since 2×401345672² = 322156696866263168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401345677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30047 + ... + 41297.

It is an arithmetic number, because the mean of its divisors is an integer number (14768250).

Almost surely, 2^401345672 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 401345672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472584000).

401345672 is an abundant number, since it is smaller than the sum of its proper divisors (543822328).

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

401345672 is a wasteful number, since it uses less digits than its factorization.

401345672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11291 (or 11273 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 401345672 is about 20033.6135532260. The cubic root of 401345672 is about 737.6316245775.

Adding to 401345672 its reverse (276543104), we get a palindrome (677888776).

The spelling of 401345672 in words is "four hundred one million, three hundred forty-five thousand, six hundred seventy-two".