407312031 has 16 divisors (see below), whose sum is σ = 621081344. Its totient is φ = 232593984.

The previous prime is 407311997. The next prime is 407312077. The reversal of 407312031 is 130213704.

It is not a de Polignac number, because 407312031 - 2¹⁹ = 406787743 is a prime.

It is a super-2 number, since 2×407312031² = 331806181194689922, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 407311989 and 407312007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407312431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30555 + ... + 41811.

It is an arithmetic number, because the mean of its divisors is an integer number (38817584).

Almost surely, 2^407312031 is an apocalyptic number.

407312031 is a deficient number, since it is larger than the sum of its proper divisors (213769313).

407312031 is a wasteful number, since it uses less digits than its factorization.

407312031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12990.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 407312031 is about 20181.9729213970. The cubic root of 407312031 is about 741.2688427330.

Adding to 407312031 its reverse (130213704), we get a palindrome (537525735).

The spelling of 407312031 in words is "four hundred seven million, three hundred twelve thousand, thirty-one".