401403200 has 84 divisors (see below), whose sum is σ = 1077541152. Its totient is φ = 145958400.

The previous prime is 401403113. The next prime is 401403217. The reversal of 401403200 is 2304104.

It is a super-2 number, since 2×401403200² = 322249057940480000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6197 + ... + 29003.

Almost surely, 2^401403200 is an apocalyptic number.

401403200 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 401403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538770576).

401403200 is an abundant number, since it is smaller than the sum of its proper divisors (676137952).

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

401403200 is a wasteful number, since it uses less digits than its factorization.

401403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22840 (or 22825 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 401403200 is about 20035.0492886841. The cubic root of 401403200 is about 737.6668663884. Note that the first 3 decimals are identical.

Adding to 401403200 its reverse (2304104), we get a palindrome (403707304).

The spelling of 401403200 in words is "four hundred one million, four hundred three thousand, two hundred".