401352 has 32 divisors (see below), whose sum is σ = 1147200. Its totient is φ = 114624.

The previous prime is 401347. The next prime is 401371. The reversal of 401352 is 253104.

It is a super-2 number, since 2×401352² = 322166855808, which contains 22 as substring.

It is an unprimeable number.

401352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1027 + ... + 1362.

It is an arithmetic number, because the mean of its divisors is an integer number (35850).

2⁴⁰¹³⁵² is an apocalyptic number.

401352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

401352 is an abundant number, since it is smaller than the sum of its proper divisors (745848).

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

401352 is a wasteful number, since it uses less digits than its factorization.

401352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2405 (or 2401 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 401352 is about 633.5234802278. The cubic root of 401352 is about 73.7635501293.

Adding to 401352 its reverse (253104), we get a palindrome (654456).

The spelling of 401352 in words is "four hundred one thousand, three hundred fifty-two".