401583331 has 8 divisors (see below), whose sum is σ = 416355200. Its totient is φ = 386925120.

The previous prime is 401583257. The next prime is 401583337. The reversal of 401583331 is 133385104.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-401583331 is a prime.

It is a super-3 number, since 3×401583331³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 401583331.

It is not an unprimeable number, because it can be changed into a prime (401583337) 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, 21186 + ... + 35383.

It is an arithmetic number, because the mean of its divisors is an integer number (52044400).

Almost surely, 2^401583331 is an apocalyptic number.

401583331 is a deficient number, since it is larger than the sum of its proper divisors (14771869).

401583331 is a wasteful number, since it uses less digits than its factorization.

401583331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56829.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 401583331 is about 20039.5441814429. The cubic root of 401583331 is about 737.7771933605. Note that the first 3 decimals are identical.

The spelling of 401583331 in words is "four hundred one million, five hundred eighty-three thousand, three hundred thirty-one".