401134734 has 256 divisors, whose sum is σ = 1232824320. Its totient is φ = 93312000.

The previous prime is 401134733. The next prime is 401134739. The reversal of 401134734 is 437431104.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 401134698 and 401134707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401134733) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2216124 + ... + 2216304.

It is an arithmetic number, because the mean of its divisors is an integer number (4815720).

Almost surely, 2^401134734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401134734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616412160).

401134734 is an abundant number, since it is smaller than the sum of its proper divisors (831689586).

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

401134734 is a wasteful number, since it uses less digits than its factorization.

401134734 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 401134734 is about 20028.3482594047. The cubic root of 401134734 is about 737.5023745590.

Adding to 401134734 its reverse (437431104), we get a palindrome (838565838).

The spelling of 401134734 in words is "four hundred one million, one hundred thirty-four thousand, seven hundred thirty-four".