401278080 has 256 divisors, whose sum is σ = 1485446400. Its totient is φ = 90243072.

The previous prime is 401278063. The next prime is 401278091. The reversal of 401278080 is 80872104.

It is a super-2 number, since 2×401278080² = 322048194976972800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 980916 + ... + 981324.

It is an arithmetic number, because the mean of its divisors is an integer number (5802525).

Almost surely, 2^401278080 is an apocalyptic number.

401278080 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 401278080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742723200).

401278080 is an abundant number, since it is smaller than the sum of its proper divisors (1084168320).

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

401278080 is a wasteful number, since it uses less digits than its factorization.

401278080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 401278080 is about 20031.9265174371. The cubic root of 401278080 is about 737.5902132295.

The spelling of 401278080 in words is "four hundred one million, two hundred seventy-eight thousand, eighty".