401725100 has 144 divisors (see below), whose sum is σ = 1034933760. Its totient is φ = 132518400.

The previous prime is 401725097. The next prime is 401725111. The reversal of 401725100 is 1527104.

It is a super-2 number, since 2×401725100² = 322766111940020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2932232 + ... + 2932368.

It is an arithmetic number, because the mean of its divisors is an integer number (7187040).

Almost surely, 2^401725100 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 401725100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517466880).

401725100 is an abundant number, since it is smaller than the sum of its proper divisors (633208660).

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

401725100 is a wasteful number, since it uses less digits than its factorization.

401725100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 401725100 is about 20043.0811004696. The cubic root of 401725100 is about 737.8640011047.

The spelling of 401725100 in words is "four hundred one million, seven hundred twenty-five thousand, one hundred".