401355024 has 80 divisors (see below), whose sum is σ = 1189923840. Its totient is φ = 114192000.

The previous prime is 401355001. The next prime is 401355079. The reversal of 401355024 is 420553104.

It is a super-2 number, since 2×401355024² = 322171710580081152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 401354985 and 401355003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81957 + ... + 86715.

It is an arithmetic number, because the mean of its divisors is an integer number (14874048).

Almost surely, 2^401355024 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 401355024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594961920).

401355024 is an abundant number, since it is smaller than the sum of its proper divisors (788568816).

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

401355024 is a wasteful number, since it uses less digits than its factorization.

401355024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5028 (or 5022 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 401355024 is about 20033.8469595832. The cubic root of 401355024 is about 737.6373538676.

The spelling of 401355024 in words is "four hundred one million, three hundred fifty-five thousand, twenty-four".