272776464 has 160 divisors (see below), whose sum is σ = 833280000. Its totient is φ = 85193856.

The previous prime is 272776451. The next prime is 272776487. The reversal of 272776464 is 464677272.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1370637 + ... + 1370835.

It is an arithmetic number, because the mean of its divisors is an integer number (5208000).

Almost surely, 2^272776464 is an apocalyptic number.

272776464 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 272776464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416640000).

272776464 is an abundant number, since it is smaller than the sum of its proper divisors (560503536).

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

272776464 is a wasteful number, since it uses less digits than its factorization.

272776464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 390 counting only the distinct ones).

The product of its digits is 790272, while the sum is 45.

The square root of 272776464 is about 16515.9457494871. The cubic root of 272776464 is about 648.5383044124.

The spelling of 272776464 in words is "two hundred seventy-two million, seven hundred seventy-six thousand, four hundred sixty-four".