401634688 has 192 divisors, whose sum is σ = 1044781920. Its totient is φ = 149667840.

The previous prime is 401634683. The next prime is 401634691. The reversal of 401634688 is 886436104.

It is a super-2 number, since 2×401634688² = 322620845209714688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 401634688.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401634683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9795948 + ... + 9795988.

Almost surely, 2^401634688 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 401634688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522390960).

401634688 is an abundant number, since it is smaller than the sum of its proper divisors (643147232).

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

401634688 is a wasteful number, since it uses less digits than its factorization.

401634688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 401634688 is about 20040.8255318986. The cubic root of 401634688 is about 737.8086425478.

The spelling of 401634688 in words is "four hundred one million, six hundred thirty-four thousand, six hundred eighty-eight".