401007852 has 144 divisors (see below), whose sum is σ = 1237716480. Its totient is φ = 106977024.

The previous prime is 401007851. The next prime is 401007857. The reversal of 401007852 is 258700104.

It is not an unprimeable number, because it can be changed into a prime (401007851) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248424 + ... + 250032.

Almost surely, 2^401007852 is an apocalyptic number.

401007852 is a gapful number since it is divisible by the number (42) 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 401007852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618858240).

401007852 is an abundant number, since it is smaller than the sum of its proper divisors (836708628).

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

401007852 is a wasteful number, since it uses less digits than its factorization.

401007852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 401007852 is about 20025.1804486252. The cubic root of 401007852 is about 737.4246071355.

Adding to 401007852 its reverse (258700104), we get a palindrome (659707956).

The spelling of 401007852 in words is "four hundred one million, seven thousand, eight hundred fifty-two".