401667840 has 432 divisors, whose sum is σ = 1687428288. Its totient is φ = 86114304.

The previous prime is 401667839. The next prime is 401667901. The reversal of 401667840 is 48766104.

It is a super-2 number, since 2×401667840² = 322674107380531200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 401667795 and 401667804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1370734 + ... + 1371026.

It is an arithmetic number, because the mean of its divisors is an integer number (3906084).

Almost surely, 2^401667840 is an apocalyptic number.

401667840 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 401667840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843714144).

401667840 is an abundant number, since it is smaller than the sum of its proper divisors (1285760448).

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

401667840 is a wasteful number, since it uses less digits than its factorization.

401667840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 401667840 is about 20041.6526264677. The cubic root of 401667840 is about 737.8289422214.

The spelling of 401667840 in words is "four hundred one million, six hundred sixty-seven thousand, eight hundred forty".