401343400 has 96 divisors (see below), whose sum is σ = 964536480. Its totient is φ = 155232000.

The previous prime is 401343377. The next prime is 401343443. The reversal of 401343400 is 4343104.

401343400 = T₃₇₄ + T₃₇₅ + ... + T₁₃₄₉.

It is a super-2 number, since 2×401343400² = 322153049447120000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 817155 + ... + 817645.

It is an arithmetic number, because the mean of its divisors is an integer number (10047255).

Almost surely, 2^401343400 is an apocalyptic number.

401343400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401343400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482268240).

401343400 is an abundant number, since it is smaller than the sum of its proper divisors (563193080).

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

401343400 is a wasteful number, since it uses less digits than its factorization.

401343400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 401343400 is about 20033.5568484481. The cubic root of 401343400 is about 737.6302326749.

Adding to 401343400 its reverse (4343104), we get a palindrome (405686504).

It can be divided in two parts, 40134 and 3400, that added together give a palindrome (43534).

The spelling of 401343400 in words is "four hundred one million, three hundred forty-three thousand, four hundred".