401412500 has 72 divisors (see below), whose sum is σ = 930174840. Its totient is φ = 151040000.

The previous prime is 401412469. The next prime is 401412581. The reversal of 401412500 is 5214104.

It can be written as a sum of positive squares in 12 ways, for example, as 389036176 + 12376324 = 19724^2 + 3518^2 .

It is a super-2 number, since 2×401412500² = 322263990312500000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 211556 + ... + 213444.

It is an arithmetic number, because the mean of its divisors is an integer number (12919095).

Almost surely, 2^401412500 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 401412500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465087420).

401412500 is an abundant number, since it is smaller than the sum of its proper divisors (528762340).

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

401412500 is a wasteful number, since it uses less digits than its factorization.

401412500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1935 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 401412500 is about 20035.2813806046. The cubic root of 401412500 is about 737.6725632777.

Adding to 401412500 its reverse (5214104), we get a palindrome (406626604).

The spelling of 401412500 in words is "four hundred one million, four hundred twelve thousand, five hundred".