401000624 has 80 divisors (see below), whose sum is σ = 894228480. Its totient is φ = 172938240.

The previous prime is 401000557. The next prime is 401000627. The reversal of 401000624 is 426000104.

It is a Cunningham number, because it is equal to 20025²-1.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (401000627) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158957 + ... + 161459.

It is an arithmetic number, because the mean of its divisors is an integer number (11177856).

Almost surely, 2^401000624 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 401000624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447114240).

401000624 is an abundant number, since it is smaller than the sum of its proper divisors (493227856).

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

401000624 is a wasteful number, since it uses less digits than its factorization.

401000624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2578 (or 2572 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 401000624 is about 20024.9999750312. Note that the first 4 decimals coincide. The cubic root of 401000624 is about 737.4201765181.

Adding to 401000624 its reverse (426000104), we get a palindrome (827000728).

The spelling of 401000624 in words is "four hundred one million, six hundred twenty-four", and thus it is an aban number.