401261328 has 120 divisors (see below), whose sum is σ = 1226796480. Its totient is φ = 121685760.

The previous prime is 401261327. The next prime is 401261339. The reversal of 401261328 is 823162104.

401261328 is a `hidden beast` number, since 40 + 1 + 2 + 613 + 2 + 8 = 666.

It is a super-2 number, since 2×401261328² = 322021306696647168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401261327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131403 + ... + 134421.

It is an arithmetic number, because the mean of its divisors is an integer number (10223304).

Almost surely, 2^401261328 is an apocalyptic number.

401261328 is a gapful number since it is divisible by the number (48) 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 401261328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613398240).

401261328 is an abundant number, since it is smaller than the sum of its proper divisors (825535152).

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

401261328 is a wasteful number, since it uses less digits than its factorization.

401261328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3117 (or 3108 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 401261328 is about 20031.5083805489. The cubic root of 401261328 is about 737.5799491227.

The spelling of 401261328 in words is "four hundred one million, two hundred sixty-one thousand, three hundred twenty-eight".