401077080 has 192 divisors, whose sum is σ = 1383782400. Its totient is φ = 100465920.

The previous prime is 401077057. The next prime is 401077081. The reversal of 401077080 is 80770104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401077081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1306287 + ... + 1306593.

It is an arithmetic number, because the mean of its divisors is an integer number (7207200).

Almost surely, 2^401077080 is an apocalyptic number.

401077080 is a gapful number since it is divisible by the number (40) 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 401077080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691891200).

401077080 is an abundant number, since it is smaller than the sum of its proper divisors (982705320).

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

401077080 is a wasteful number, since it uses less digits than its factorization.

401077080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 401077080 is about 20026.9088977805. The cubic root of 401077080 is about 737.4670397986.

The spelling of 401077080 in words is "four hundred one million, seventy-seven thousand, eighty".