401135352 has 64 divisors (see below), whose sum is σ = 1040783520. Its totient is φ = 128729088.

The previous prime is 401135351. The next prime is 401135359. The reversal of 401135352 is 253531104.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401135351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83808 + ... + 88464.

Almost surely, 2^401135352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401135352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520391760).

401135352 is an abundant number, since it is smaller than the sum of its proper divisors (639648168).

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

401135352 is a wasteful number, since it uses less digits than its factorization.

401135352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4800 (or 4796 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 401135352 is about 20028.3636875307. The cubic root of 401135352 is about 737.5027532982.

Adding to 401135352 its reverse (253531104), we get a palindrome (654666456).

The spelling of 401135352 in words is "four hundred one million, one hundred thirty-five thousand, three hundred fifty-two".