401133564 has 144 divisors (see below), whose sum is σ = 1168247808. Its totient is φ = 114960384.

The previous prime is 401133563. The next prime is 401133589. The reversal of 401133564 is 465331104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401133563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1010214 + ... + 1010610.

It is an arithmetic number, because the mean of its divisors is an integer number (8112832).

Almost surely, 2^401133564 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 401133564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584123904).

401133564 is an abundant number, since it is smaller than the sum of its proper divisors (767114244).

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

401133564 is a wasteful number, since it uses less digits than its factorization.

401133564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 401133564 is about 20028.3190507841. The cubic root of 401133564 is about 737.5016575276.

Adding to 401133564 its reverse (465331104), we get a palindrome (866464668).

The spelling of 401133564 in words is "four hundred one million, one hundred thirty-three thousand, five hundred sixty-four".