272461640 has 64 divisors (see below), whose sum is σ = 675501120. Its totient is φ = 98080000.

The previous prime is 272461621. The next prime is 272461643. The reversal of 272461640 is 46164272.

It is a junction number, because it is equal to n+sod(n) for n = 272461597 and 272461606.

It is not an unprimeable number, because it can be changed into a prime (272461643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41375 + ... + 47505.

It is an arithmetic number, because the mean of its divisors is an integer number (10554705).

Almost surely, 2^272461640 is an apocalyptic number.

272461640 is a gapful number since it is divisible by the number (20) 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 272461640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337750560).

272461640 is an abundant number, since it is smaller than the sum of its proper divisors (403039480).

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

272461640 is a wasteful number, since it uses less digits than its factorization.

272461640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6254 (or 6250 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 272461640 is about 16506.4120874283. The cubic root of 272461640 is about 648.2887056261.

The spelling of 272461640 in words is "two hundred seventy-two million, four hundred sixty-one thousand, six hundred forty".