864714480 has 80 divisors (see below), whose sum is σ = 3063565824. Its totient is φ = 197648640.

The previous prime is 864714439. The next prime is 864714481. The reversal of 864714480 is 84417468.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×864714480² = 1495462263843340800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864714481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255676 + ... + 259035.

Almost surely, 2^864714480 is an apocalyptic number.

864714480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

864714480 is an abundant number, since it is smaller than the sum of its proper divisors (2198851344).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

864714480 is a wasteful number, since it uses less digits than its factorization.

864714480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514734 (or 514728 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 42.

The square root of 864714480 is about 29406.0279534656. The cubic root of 864714480 is about 952.7030973421.

It can be divided in two parts, 86471 and 4480, that added together give a triangular number (90951 = T₄₂₆).

The spelling of 864714480 in words is "eight hundred sixty-four million, seven hundred fourteen thousand, four hundred eighty".