401351000 has 64 divisors (see below), whose sum is σ = 943263360. Its totient is φ = 159840000.

The previous prime is 401350993. The next prime is 401351023. The reversal of 401351000 is 153104.

It is a super-2 number, since 2×401351000² = 322165250402000000, 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 15 ways as a sum of consecutive naturals, for example, 270260 + ... + 271740.

It is an arithmetic number, because the mean of its divisors is an integer number (14738490).

Almost surely, 2^401351000 is an apocalyptic number.

401351000 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 401351000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471631680).

401351000 is an abundant number, since it is smaller than the sum of its proper divisors (541912360).

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

401351000 is a wasteful number, since it uses less digits than its factorization.

401351000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1773 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 401351000 is about 20033.7465292940. The cubic root of 401351000 is about 737.6348886665.

The spelling of 401351000 in words is "four hundred one million, three hundred fifty-one thousand".