401015000 has 80 divisors (see below), whose sum is σ = 947977800. Its totient is φ = 158976000.

The previous prime is 401014997. The next prime is 401015003. The reversal of 401015000 is 510104.

It is an interprime number because it is at equal distance from previous prime (401014997) and next prime (401015003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401015003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 694712 + ... + 695288.

Almost surely, 2^401015000 is an apocalyptic number.

401015000 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 401015000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473988900).

401015000 is an abundant number, since it is smaller than the sum of its proper divisors (546962800).

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

401015000 is a wasteful number, since it uses less digits than its factorization.

401015000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 401015000 is about 20025.3589231254. The cubic root of 401015000 is about 737.4289886622.

Adding to 401015000 its reverse (510104), we get a palindrome (401525104).

The spelling of 401015000 in words is "four hundred one million, fifteen thousand".