401300000 has 72 divisors (see below), whose sum is σ = 987757092. Its totient is φ = 160480000.

The previous prime is 401299993. The next prime is 401300033. The reversal of 401300000 is 3104.

It can be written as a sum of positive squares in 6 ways, for example, as 11316496 + 389983504 = 3364^2 + 19748^2 .

It is a super-2 number, since 2×401300000² = 322083380000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97994 + ... + 102006.

Almost surely, 2^401300000 is an apocalyptic number.

401300000 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 401300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493878546).

401300000 is an abundant number, since it is smaller than the sum of its proper divisors (586457092).

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

401300000 is an frugal number, since it uses more digits than its factorization.

401300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048 (or 4020 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 401300000 is about 20032.4736365732. The cubic root of 401300000 is about 737.6036433867.

Adding to 401300000 its reverse (3104), we get a palindrome (401303104).

The spelling of 401300000 in words is "four hundred one million, three hundred thousand".