432879489547488 has 96 divisors (see below), whose sum is σ = 1264413737664000. Its totient is φ = 144081899203968.

The previous prime is 432879489547469. The next prime is 432879489547627. The reversal of 432879489547488 is 884745984978234.

432879489547488 is a `hidden beast` number, since 4 + 3 + 2 + 8 + 7 + 9 + 4 + 89 + 5 + 47 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×432879489547488² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 432879489547398 and 432879489547407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 366187288 + ... + 367367511.

It is an arithmetic number, because the mean of its divisors is an integer number (13170976434000).

Almost surely, 2^{432879489547488} is an apocalyptic number.

432879489547488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

432879489547488 is an abundant number, since it is smaller than the sum of its proper divisors (831534248116512).

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

432879489547488 is a wasteful number, since it uses less digits than its factorization.

432879489547488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733555501 (or 733555487 counting only the distinct ones).

The product of its digits is 124853944320, while the sum is 90.

The spelling of 432879489547488 in words is "four hundred thirty-two trillion, eight hundred seventy-nine billion, four hundred eighty-nine million, five hundred forty-seven thousand, four hundred eighty-eight".