401033000 has 64 divisors (see below), whose sum is σ = 987854400. Its totient is φ = 151963200.

The previous prime is 401032997. The next prime is 401033023. The reversal of 401033000 is 330104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8447 + ... + 29553.

It is an arithmetic number, because the mean of its divisors is an integer number (15435225).

Almost surely, 2^401033000 is an apocalyptic number.

401033000 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 401033000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493927200).

401033000 is an abundant number, since it is smaller than the sum of its proper divisors (586821400).

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

401033000 is a wasteful number, since it uses less digits than its factorization.

401033000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21147 (or 21133 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 401033000 is about 20025.8083482290. The cubic root of 401033000 is about 737.4400219346.

Adding to 401033000 its reverse (330104), we get a palindrome (401363104).

The spelling of 401033000 in words is "four hundred one million, thirty-three thousand".