401277072 has 80 divisors (see below), whose sum is σ = 1208950400. Its totient is φ = 114645888.

The previous prime is 401277053. The next prime is 401277077. The reversal of 401277072 is 270772104.

It is a super-3 number, since 3×401277072³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (401277077) 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, 4278 + ... + 28650.

It is an arithmetic number, because the mean of its divisors is an integer number (15111880).

Almost surely, 2^401277072 is an apocalyptic number.

401277072 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 401277072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604475200).

401277072 is an abundant number, since it is smaller than the sum of its proper divisors (807673328).

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

401277072 is a wasteful number, since it uses less digits than its factorization.

401277072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24405 (or 24385 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 30.

The square root of 401277072 is about 20031.9013575846. The cubic root of 401277072 is about 737.5895956265.

The spelling of 401277072 in words is "four hundred one million, two hundred seventy-seven thousand, seventy-two".