401375100 has 144 divisors (see below), whose sum is σ = 1405410048. Its totient is φ = 86338560.

The previous prime is 401375099. The next prime is 401375113. The reversal of 401375100 is 1573104.

It is a super-2 number, since 2×401375100² = 322203941800020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

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, 30079 + ... + 41321.

It is an arithmetic number, because the mean of its divisors is an integer number (9759792).

Almost surely, 2^401375100 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 401375100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702705024).

401375100 is an abundant number, since it is smaller than the sum of its proper divisors (1004034948).

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

401375100 is a wasteful number, since it uses less digits than its factorization.

401375100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11284 (or 11277 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 401375100 is about 20034.3480053632. The cubic root of 401375100 is about 737.6496526719.

The spelling of 401375100 in words is "four hundred one million, three hundred seventy-five thousand, one hundred".