401468352 has 112 divisors (see below), whose sum is σ = 1126735872. Its totient is φ = 125936640.

The previous prime is 401468303. The next prime is 401468359. The reversal of 401468352 is 253864104.

It is a super-2 number, since 2×401468352² = 322353675315191808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401468359) 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, 219313 + ... + 221135.

Almost surely, 2^401468352 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 401468352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563367936).

401468352 is an abundant number, since it is smaller than the sum of its proper divisors (725267520).

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

401468352 is a wasteful number, since it uses less digits than its factorization.

401468352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 401468352 is about 20036.6751732916. The cubic root of 401468352 is about 737.7067746167.

The spelling of 401468352 in words is "four hundred one million, four hundred sixty-eight thousand, three hundred fifty-two".