464364131 has 24 divisors (see below), whose sum is σ = 590606640. Its totient is φ = 361032000.

The previous prime is 464364113. The next prime is 464364143. The reversal of 464364131 is 131463464.

It is not a de Polignac number, because 464364131 - 2¹⁸ = 464101987 is a prime.

It is a super-3 number, since 3×464364131³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (464364031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377225 + ... + 378453.

It is an arithmetic number, because the mean of its divisors is an integer number (24608610).

Almost surely, 2^464364131 is an apocalyptic number.

464364131 is a deficient number, since it is larger than the sum of its proper divisors (126242509).

464364131 is a wasteful number, since it uses less digits than its factorization.

464364131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1948 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

The square root of 464364131 is about 21549.1097495929. The cubic root of 464364131 is about 774.3777904290.

The spelling of 464364131 in words is "four hundred sixty-four million, three hundred sixty-four thousand, one hundred thirty-one".