401543264 has 96 divisors (see below), whose sum is σ = 898944480. Its totient is φ = 175398912.

The previous prime is 401543257. The next prime is 401543267. The reversal of 401543264 is 462345104.

It is a super-2 number, since 2×401543264² = 322473985727547392, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401543267) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 547442 + ... + 548174.

It is an arithmetic number, because the mean of its divisors is an integer number (9364005).

Almost surely, 2^401543264 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 401543264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449472240).

401543264 is an abundant number, since it is smaller than the sum of its proper divisors (497401216).

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

401543264 is a wasteful number, since it uses less digits than its factorization.

401543264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 401543264 is about 20038.5444581187. The cubic root of 401543264 is about 737.7526559028.

Adding to 401543264 its reverse (462345104), we get a palindrome (863888368).

The spelling of 401543264 in words is "four hundred one million, five hundred forty-three thousand, two hundred sixty-four".