401162632 has 64 divisors (see below), whose sum is σ = 828172800. Its totient is φ = 181059840.

The previous prime is 401162627. The next prime is 401162633. The reversal of 401162632 is 236261104.

It is a junction number, because it is equal to n+sod(n) for n = 401162597 and 401162606.

It is not an unprimeable number, because it can be changed into a prime (401162633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1289757 + ... + 1290067.

It is an arithmetic number, because the mean of its divisors is an integer number (12940200).

Almost surely, 2^401162632 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 401162632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (414086400).

401162632 is an abundant number, since it is smaller than the sum of its proper divisors (427010168).

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

401162632 is a wasteful number, since it uses less digits than its factorization.

401162632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 401162632 is about 20029.0447101204. The cubic root of 401162632 is about 737.5194713618.

The spelling of 401162632 in words is "four hundred one million, one hundred sixty-two thousand, six hundred thirty-two".