401445072 has 400 divisors, whose sum is σ = 1490797440. Its totient is φ = 101523456.

The previous prime is 401445047. The next prime is 401445097. The reversal of 401445072 is 270544104.

It is an interprime number because it is at equal distance from previous prime (401445047) and next prime (401445097).

It is a super-2 number, since 2×401445072² = 322316291666170368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2930188 + ... + 2930324.

Almost surely, 2^401445072 is an apocalyptic number.

401445072 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 401445072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745398720).

401445072 is an abundant number, since it is smaller than the sum of its proper divisors (1089352368).

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

401445072 is a wasteful number, since it uses less digits than its factorization.

401445072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 401445072 is about 20036.0942301637. The cubic root of 401445072 is about 737.6925151733.

Adding to 401445072 its reverse (270544104), we get a palindrome (671989176).

The spelling of 401445072 in words is "four hundred one million, four hundred forty-five thousand, seventy-two".