400960575 has 36 divisors (see below), whose sum is σ = 726270480. Its totient is φ = 211432320.

The previous prime is 400960517. The next prime is 400960579. The reversal of 400960575 is 575069004.

400960575 is a `hidden beast` number, since 40 + 0 + 9 + 605 + 7 + 5 = 666.

It is a Cunningham number, because it is equal to 20024²-1.

It is not a de Polignac number, because 400960575 - 2⁷ = 400960447 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400960579) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10014 + ... + 30036.

It is an arithmetic number, because the mean of its divisors is an integer number (20174180).

Almost surely, 2^400960575 is an apocalyptic number.

400960575 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

400960575 is a deficient number, since it is larger than the sum of its proper divisors (325309905).

400960575 is a wasteful number, since it uses less digits than its factorization.

400960575 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20128 (or 20120 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 400960575 is about 20023.9999750300. Note that the first 4 decimals coincide. The cubic root of 400960575 is about 737.3956263287.

The spelling of 400960575 in words is "four hundred million, nine hundred sixty thousand, five hundred seventy-five".