401876820 has 72 divisors (see below), whose sum is σ = 1231647144. Its totient is φ = 106057728.

The previous prime is 401876807. The next prime is 401876833. The reversal of 401876820 is 28678104.

It is an interprime number because it is at equal distance from previous prime (401876807) and next prime (401876833).

It can be written as a sum of positive squares in 4 ways, for example, as 37601424 + 364275396 = 6132^2 + 19086^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5952 + ... + 28968.

Almost surely, 2^401876820 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 401876820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615823572).

401876820 is an abundant number, since it is smaller than the sum of its proper divisors (829770324).

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

401876820 is a wasteful number, since it uses less digits than its factorization.

401876820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23129 (or 23124 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 401876820 is about 20046.8655904109. The cubic root of 401876820 is about 737.9568794071.

The spelling of 401876820 in words is "four hundred one million, eight hundred seventy-six thousand, eight hundred twenty".