407962 has 12 divisors (see below), whose sum is σ = 633150. Its totient is φ = 197136.

The previous prime is 407959. The next prime is 407969. The reversal of 407962 is 269704.

It can be written as a sum of positive squares in 3 ways, for example, as 398161 + 9801 = 631^2 + 99^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 407962.

It is not an unprimeable number, because it can be changed into a prime (407969) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2664 + ... + 2812.

2⁴⁰⁷⁹⁶² is an apocalyptic number.

407962 is a deficient number, since it is larger than the sum of its proper divisors (225188).

407962 is a wasteful number, since it uses less digits than its factorization.

407962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 407962 is about 638.7190305604. The cubic root of 407962 is about 74.1662926940.

It can be divided in two parts, 407 and 962, that added together give a square (1369 = 37²).

The spelling of 407962 in words is "four hundred seven thousand, nine hundred sixty-two".