401352252 has 96 divisors (see below), whose sum is σ = 1154829312. Its totient is φ = 105870336.

The previous prime is 401352247. The next prime is 401352331. The reversal of 401352252 is 252253104.

It is a super-2 number, since 2×401352252² = 322167260370943008, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 73033 + ... + 78335.

It is an arithmetic number, because the mean of its divisors is an integer number (12029472).

Almost surely, 2^401352252 is an apocalyptic number.

401352252 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 401352252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (577414656).

401352252 is an abundant number, since it is smaller than the sum of its proper divisors (753477060).

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

401352252 is a wasteful number, since it uses less digits than its factorization.

401352252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5387 (or 5385 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 401352252 is about 20033.7777765453. Note that the first 5 decimals coincide. The cubic root of 401352252 is about 737.6356556742.

It can be divided in two parts, 4013 and 52252, that added together give a palindrome (56265).

The spelling of 401352252 in words is "four hundred one million, three hundred fifty-two thousand, two hundred fifty-two".