401342304 has 48 divisors (see below), whose sum is σ = 1149301440. Its totient is φ = 121618560.

The previous prime is 401342303. The next prime is 401342327. The reversal of 401342304 is 403243104.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×401342304² = 322151289960056832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401342303) 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, 188974 + ... + 191085.

It is an arithmetic number, because the mean of its divisors is an integer number (23943780).

Almost surely, 2^401342304 is an apocalyptic number.

401342304 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

401342304 is an abundant number, since it is smaller than the sum of its proper divisors (747959136).

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

401342304 is a wasteful number, since it uses less digits than its factorization.

401342304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380083 (or 380075 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 401342304 is about 20033.5294943253. The cubic root of 401342304 is about 737.6295612271.

Adding to 401342304 its reverse (403243104), we get a palindrome (804585408).

The spelling of 401342304 in words is "four hundred one million, three hundred forty-two thousand, three hundred four".