406311952 has 40 divisors (see below), whose sum is σ = 796478040. Its totient is φ = 200785920.

The previous prime is 406311943. The next prime is 406311959. The reversal of 406311952 is 259113604.

It can be written as a sum of positive squares in 4 ways, for example, as 331385616 + 74926336 = 18204^2 + 8656^2 .

It is a super-3 number, since 3×406311952³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (406311959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 633552 + ... + 634192.

It is an arithmetic number, because the mean of its divisors is an integer number (19911951).

Almost surely, 2^406311952 is an apocalyptic number.

It is an amenable number.

406311952 is a deficient number, since it is larger than the sum of its proper divisors (390166088).

406311952 is a wasteful number, since it uses less digits than its factorization.

406311952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 406311952 is about 20157.1811521353. The cubic root of 406311952 is about 740.6616628922.

The spelling of 406311952 in words is "four hundred six million, three hundred eleven thousand, nine hundred fifty-two".