272098440 has 160 divisors (see below), whose sum is σ = 922731480. Its totient is φ = 71912448.

The previous prime is 272098429. The next prime is 272098451. The reversal of 272098440 is 44890272.

272098440 is a `hidden beast` number, since 2 + 7 + 209 + 8 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (272098429) and next prime (272098451).

It can be written as a sum of positive squares in 4 ways, for example, as 136469124 + 135629316 = 11682^2 + 11646^2 .

It is a super-2 number, since 2×272098440² = 148075122100867200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 272098395 and 272098404.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 443574 + ... + 444186.

Almost surely, 2^272098440 is an apocalyptic number.

272098440 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 272098440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461365740).

272098440 is an abundant number, since it is smaller than the sum of its proper divisors (650633040).

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

272098440 is a wasteful number, since it uses less digits than its factorization.

272098440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 272098440 is about 16495.4066333631. The cubic root of 272098440 is about 648.0005144029. Note that the first 3 decimals are identical.

The spelling of 272098440 in words is "two hundred seventy-two million, ninety-eight thousand, four hundred forty".