401626104 has 192 divisors, whose sum is σ = 1206576000. Its totient is φ = 110880000.

The previous prime is 401626081. The next prime is 401626163.

401626104 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×401626104² = 322607054828437632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1599979 + ... + 1600229.

It is an arithmetic number, because the mean of its divisors is an integer number (6284250).

Almost surely, 2^401626104 is an apocalyptic number.

401626104 is a gapful number since it is divisible by the number (44) 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 401626104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603288000).

401626104 is an abundant number, since it is smaller than the sum of its proper divisors (804949896).

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

401626104 is a wasteful number, since it uses less digits than its factorization.

401626104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 401626104 is about 20040.6113679199. The cubic root of 401626104 is about 737.8033862003.

The spelling of 401626104 in words is "four hundred one million, six hundred twenty-six thousand, one hundred four".