401779760 has 40 divisors (see below), whose sum is σ = 945408240. Its totient is φ = 158772992.

The previous prime is 401779759. The next prime is 401779823. The reversal of 401779760 is 67977104.

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

It is a super-2 number, since 2×401779760² = 322853951091315200, which contains 22 as substring.

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, 23615 + ... + 36894.

It is an arithmetic number, because the mean of its divisors is an integer number (23635206).

Almost surely, 2^401779760 is an apocalyptic number.

401779760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

401779760 is an abundant number, since it is smaller than the sum of its proper divisors (543628480).

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

401779760 is a wasteful number, since it uses less digits than its factorization.

401779760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60605 (or 60599 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 41.

The square root of 401779760 is about 20044.4446169007. Note that the first 3 decimals coincide. The cubic root of 401779760 is about 737.8974649645.

The spelling of 401779760 in words is "four hundred one million, seven hundred seventy-nine thousand, seven hundred sixty".