401501400 has 96 divisors (see below), whose sum is σ = 1252419840. Its totient is φ = 106399360.

The previous prime is 401501389. The next prime is 401501413. The reversal of 401501400 is 4105104.

It is a super-2 number, since 2×401501400² = 322406748403920000, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 401501400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98197 + ... + 102203.

It is an arithmetic number, because the mean of its divisors is an integer number (13046040).

Almost surely, 2^401501400 is an apocalyptic number.

401501400 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 401501400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626209920).

401501400 is an abundant number, since it is smaller than the sum of its proper divisors (850918440).

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

401501400 is a wasteful number, since it uses less digits than its factorization.

401501400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4193 (or 4184 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 401501400 is about 20037.4998440424. The cubic root of 401501400 is about 737.7270161994.

Adding to 401501400 its reverse (4105104), we get a palindrome (405606504).

The spelling of 401501400 in words is "four hundred one million, five hundred one thousand, four hundred".