401294200 has 48 divisors (see below), whose sum is σ = 936603000. Its totient is φ = 159899520.

The previous prime is 401294177. The next prime is 401294203. The reversal of 401294200 is 2492104.

It is a super-2 number, since 2×401294200² = 322074069907280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401294203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50071 + ... + 57529.

Almost surely, 2^401294200 is an apocalyptic number.

401294200 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 401294200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468301500).

401294200 is an abundant number, since it is smaller than the sum of its proper divisors (535308800).

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

401294200 is a wasteful number, since it uses less digits than its factorization.

401294200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7744 (or 7735 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 401294200 is about 20032.3288711023. The cubic root of 401294200 is about 737.6000898342.

The spelling of 401294200 in words is "four hundred one million, two hundred ninety-four thousand, two hundred".