401000000 has 98 divisors (see below), whose sum is σ = 997135674. Its totient is φ = 160000000.

The previous prime is 400999999. The next prime is 401000011. The reversal of 401000000 is 104.

It can be written as a sum of positive squares in 7 ways, for example, as 363741184 + 37258816 = 19072^2 + 6104^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 999800 + ... + 1000200.

Almost surely, 2^401000000 is an apocalyptic number.

401000000 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 401000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498567837).

401000000 is an abundant number, since it is smaller than the sum of its proper divisors (596135674).

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

401000000 is an frugal number, since it uses more digits than its factorization.

401000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 401000000 is about 20024.9843945008. The cubic root of 401000000 is about 737.4197940163.

Adding to 401000000 its reverse (104), we get a palindrome (401000104).

The spelling of 401000000 in words is "four hundred one million", and thus it is an aban number.