401408080 has 40 divisors (see below), whose sum is σ = 988175592. Its totient is φ = 151117824.

The previous prime is 401408071. The next prime is 401408101. The reversal of 401408080 is 80804104.

It can be written as a sum of positive squares in 4 ways, for example, as 134281744 + 267126336 = 11588^2 + 16344^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×401408080² = 322256893378572800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146217 + ... + 148936.

Almost surely, 2^401408080 is an apocalyptic number.

401408080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401408080 is an abundant number, since it is smaller than the sum of its proper divisors (586767512).

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

401408080 is a wasteful number, since it uses less digits than its factorization.

401408080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295183 (or 295177 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 401408080 is about 20035.1710748873. The cubic root of 401408080 is about 737.6698557348.

It can be divided in two parts, 4014080 and 80, that multiplied together give a square (321126400 = 17920²).

The spelling of 401408080 in words is "four hundred one million, four hundred eight thousand, eighty".