406351 has 16 divisors (see below), whose sum is σ = 489888. Its totient is φ = 332800.

The previous prime is 406349. The next prime is 406361. The reversal of 406351 is 153604.

406351 is a nontrivial binomial coefficient, being equal to C(902, 2).

It is a cyclic number.

It is not a de Polignac number, because 406351 - 2¹ = 406349 is a prime.

It is a super-2 number, since 2×406351² = 330242270402, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7641 + ... + 7693.

It is an arithmetic number, because the mean of its divisors is an integer number (30618).

2⁴⁰⁶³⁵¹ is an apocalyptic number.

406351 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

406351 is the 901-st triangular number and also the 451-st hexagonal number.

406351 is the 301-st centered nonagonal number.

406351 is a deficient number, since it is larger than the sum of its proper divisors (83537).

406351 is a wasteful number, since it uses less digits than its factorization.

406351 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 406351 is about 637.4566651938. The cubic root of 406351 is about 74.0685388858.

Adding to 406351 its reverse (153604), we get a palindrome (559955).

It can be divided in two parts, 4063 and 51, that added together give a palindrome (4114).

The spelling of 406351 in words is "four hundred six thousand, three hundred fifty-one".