401330160 has 640 divisors, whose sum is σ = 1828454400. Its totient is φ = 78382080.

The previous prime is 401330131. The next prime is 401330177. The reversal of 401330160 is 61033104.

It is a super-2 number, since 2×401330160² = 322131794651251200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3160017 + ... + 3160143.

It is an arithmetic number, because the mean of its divisors is an integer number (2856960).

Almost surely, 2^401330160 is an apocalyptic number.

401330160 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 401330160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914227200).

401330160 is an abundant number, since it is smaller than the sum of its proper divisors (1427124240).

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

401330160 is a wasteful number, since it uses less digits than its factorization.

401330160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 401330160 is about 20033.2264001583. The cubic root of 401330160 is about 737.6221213072.

Adding to 401330160 its reverse (61033104), we get a palindrome (462363264).

The spelling of 401330160 in words is "four hundred one million, three hundred thirty thousand, one hundred sixty".