401838400 has 42 divisors (see below), whose sum is σ = 988777550. Its totient is φ = 160734720.

The previous prime is 401838383. The next prime is 401838403. The reversal of 401838400 is 4838104.

It can be written as a sum of positive squares in 3 ways, for example, as 80138304 + 321700096 = 8952^2 + 17936^2 .

It is a super-2 number, since 2×401838400² = 322948199429120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401838403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 123975 + ... + 127174.

Almost surely, 2^401838400 is an apocalyptic number.

401838400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401838400 is an abundant number, since it is smaller than the sum of its proper divisors (586939150).

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

401838400 is a wasteful number, since it uses less digits than its factorization.

401838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251171 (or 251156 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 401838400 is about 20045.9073129654. The cubic root of 401838400 is about 737.9333620792.

The spelling of 401838400 in words is "four hundred one million, eight hundred thirty-eight thousand, four hundred".