401027760 has 360 divisors, whose sum is σ = 1628552016. Its totient is φ = 91445760.

The previous prime is 401027743. The next prime is 401027789. The reversal of 401027760 is 67720104.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 952350 + ... + 952770.

Almost surely, 2^401027760 is an apocalyptic number.

401027760 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 401027760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814276008).

401027760 is an abundant number, since it is smaller than the sum of its proper divisors (1227524256).

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

401027760 is a wasteful number, since it uses less digits than its factorization.

401027760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 401027760 is about 20025.6775166285. The cubic root of 401027760 is about 737.4368100604.

Adding to 401027760 its reverse (67720104), we get a palindrome (468747864).

The spelling of 401027760 in words is "four hundred one million, twenty-seven thousand, seven hundred sixty".