401300160 has 112 divisors (see below), whose sum is σ = 1284256512. Its totient is φ = 106163200.

The previous prime is 401300143. The next prime is 401300191. The reversal of 401300160 is 61003104.

It is a super-2 number, since 2×401300160² = 322083636832051200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 124165 + ... + 127355.

It is an arithmetic number, because the mean of its divisors is an integer number (11466576).

Almost surely, 2^401300160 is an apocalyptic number.

401300160 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 401300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642128256).

401300160 is an abundant number, since it is smaller than the sum of its proper divisors (882956352).

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

401300160 is a wasteful number, since it uses less digits than its factorization.

401300160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3342 (or 3332 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 401300160 is about 20032.4776300886. The cubic root of 401300160 is about 737.6037414152.

Adding to 401300160 its reverse (61003104), we get a palindrome (462303264).

The spelling of 401300160 in words is "four hundred one million, three hundred thousand, one hundred sixty".