401693904 has 100 divisors (see below), whose sum is σ = 1194183364. Its totient is φ = 130263552.

The previous prime is 401693861. The next prime is 401693909. The reversal of 401693904 is 409396104.

It can be written as a sum of positive squares in 2 ways, for example, as 212576400 + 189117504 = 14580^2 + 13752^2 .

It is a super-2 number, since 2×401693904² = 322715985021522432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401693909) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43764 + ... + 52140.

Almost surely, 2^401693904 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 401693904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597091682).

401693904 is an abundant number, since it is smaller than the sum of its proper divisors (792489460).

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

401693904 is a wasteful number, since it uses less digits than its factorization.

401693904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8434 (or 8419 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 401693904 is about 20042.3028616973. The cubic root of 401693904 is about 737.8449009778.

The spelling of 401693904 in words is "four hundred one million, six hundred ninety-three thousand, nine hundred four".