401287068 has 288 divisors, whose sum is σ = 1376390400. Its totient is φ = 99937152.

The previous prime is 401287067. The next prime is 401287079. The reversal of 401287068 is 860782104.

It is a super-2 number, since 2×401287068² = 322062621888073248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401287063) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1306971 + ... + 1307277.

Almost surely, 2^401287068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401287068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688195200).

401287068 is an abundant number, since it is smaller than the sum of its proper divisors (975103332).

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

401287068 is a wasteful number, since it uses less digits than its factorization.

401287068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 401287068 is about 20032.1508580582. The cubic root of 401287068 is about 737.5957201432.

The spelling of 401287068 in words is "four hundred one million, two hundred eighty-seven thousand, sixty-eight".