401961600 has 288 divisors, whose sum is σ = 1520510940. Its totient is φ = 100761600.

The previous prime is 401961577. The next prime is 401961619. The reversal of 401961600 is 6169104.

401961600 is a `hidden beast` number, since 40 + 1 + 9 + 616 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 156350016 + 245611584 = 12504^2 + 15672^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 489190 + ... + 490010.

Almost surely, 2^401961600 is an apocalyptic number.

401961600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760255470).

401961600 is an abundant number, since it is smaller than the sum of its proper divisors (1118549340).

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

401961600 is a wasteful number, since it uses less digits than its factorization.

401961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 401961600 is about 20048.9800239314. The cubic root of 401961600 is about 738.0087689266.

The spelling of 401961600 in words is "four hundred one million, nine hundred sixty-one thousand, six hundred".