401073588 has 72 divisors (see below), whose sum is σ = 1078564032. Its totient is φ = 125229312.

The previous prime is 401073583. The next prime is 401073601. The reversal of 401073588 is 885370104.

401073588 is a `hidden beast` number, since 4 + 0 + 1 + 0 + 73 + 588 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401073583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137481 + ... + 140367.

It is an arithmetic number, because the mean of its divisors is an integer number (14980056).

Almost surely, 2^401073588 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 401073588, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539282016).

401073588 is an abundant number, since it is smaller than the sum of its proper divisors (677490444).

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

401073588 is a wasteful number, since it uses less digits than its factorization.

401073588 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3141 (or 3136 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 401073588 is about 20026.8217148903. The cubic root of 401073588 is about 737.4648995264.

The spelling of 401073588 in words is "four hundred one million, seventy-three thousand, five hundred eighty-eight".