401759080 has 32 divisors (see below), whose sum is σ = 921018600. Its totient is φ = 157670656.

The previous prime is 401759051. The next prime is 401759089. The reversal of 401759080 is 80957104.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 254913156 + 146845924 = 15966^2 + 12118^2 .

It is a super-2 number, since 2×401759080² = 322820716724892800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401759089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92635 + ... + 96874.

Almost surely, 2^401759080 is an apocalyptic number.

401759080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401759080 is an abundant number, since it is smaller than the sum of its proper divisors (519259520).

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

401759080 is a wasteful number, since it uses less digits than its factorization.

401759080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189573 (or 189569 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 401759080 is about 20043.9287566086. The cubic root of 401759080 is about 737.8848046441.

The spelling of 401759080 in words is "four hundred one million, seven hundred fifty-nine thousand, eighty".