401777838 has 216 divisors, whose sum is σ = 1169938224. Its totient is φ = 97511040.

The previous prime is 401777837. The next prime is 401777867. The reversal of 401777838 is 838777104.

It is a happy number.

It is a super-2 number, since 2×401777838² = 322850862215908488, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401777793 and 401777802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401777833) 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 107 ways as a sum of consecutive naturals, for example, 5503770 + ... + 5503842.

Almost surely, 2^401777838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401777838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (584969112).

401777838 is an abundant number, since it is smaller than the sum of its proper divisors (768160386).

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

401777838 is a wasteful number, since it uses less digits than its factorization.

401777838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 401777838 is about 20044.3966733848. The cubic root of 401777838 is about 737.8962883321.

The spelling of 401777838 in words is "four hundred one million, seven hundred seventy-seven thousand, eight hundred thirty-eight".