401762020 has 144 divisors (see below), whose sum is σ = 1002637440. Its totient is φ = 134041600.

The previous prime is 401761963. The next prime is 401762041. The reversal of 401762020 is 20267104.

It is a super-2 number, since 2×401762020² = 322825441428960800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 401761982 and 401762000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4514136 + ... + 4514224.

It is an arithmetic number, because the mean of its divisors is an integer number (6962760).

Almost surely, 2^401762020 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 401762020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501318720).

401762020 is an abundant number, since it is smaller than the sum of its proper divisors (600875420).

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

401762020 is a wasteful number, since it uses less digits than its factorization.

401762020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 401762020 is about 20044.0020953900. The cubic root of 401762020 is about 737.8866045421.

The spelling of 401762020 in words is "four hundred one million, seven hundred sixty-two thousand, twenty".