270463840 has 72 divisors (see below), whose sum is σ = 660623040. Its totient is φ = 104636160.

The previous prime is 270463819. The next prime is 270463859. The reversal of 270463840 is 48364072.

It is a junction number, because it is equal to n+sod(n) for n = 270463796 and 270463805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 152881 + ... + 154639.

It is an arithmetic number, because the mean of its divisors is an integer number (9175320).

Almost surely, 2^270463840 is an apocalyptic number.

270463840 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 270463840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330311520).

270463840 is an abundant number, since it is smaller than the sum of its proper divisors (390159200).

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

270463840 is a wasteful number, since it uses less digits than its factorization.

270463840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1836 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 34.

The square root of 270463840 is about 16445.7848702943. The cubic root of 270463840 is about 646.7003111887.

The spelling of 270463840 in words is "two hundred seventy million, four hundred sixty-three thousand, eight hundred forty".