272608464 has 80 divisors (see below), whose sum is σ = 748344960. Its totient is φ = 85217280.

The previous prime is 272608429. The next prime is 272608471. The reversal of 272608464 is 464806272.

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, 357844 + ... + 358604.

It is an arithmetic number, because the mean of its divisors is an integer number (9354312).

Almost surely, 2^272608464 is an apocalyptic number.

272608464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272608464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374172480).

272608464 is an abundant number, since it is smaller than the sum of its proper divisors (475736496).

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

272608464 is a wasteful number, since it uses less digits than its factorization.

272608464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 272608464 is about 16510.8589722037. The cubic root of 272608464 is about 648.4051345522.

The spelling of 272608464 in words is "two hundred seventy-two million, six hundred eight thousand, four hundred sixty-four".