270738432 has 132 divisors (see below), whose sum is σ = 809506620. Its totient is φ = 87048192.

The previous prime is 270738431. The next prime is 270738437. The reversal of 270738432 is 234837072.

270738432 is a `hidden beast` number, since 270 + 7 + 384 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46457856 + 224280576 = 6816^2 + 14976^2 .

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

It is not an unprimeable number, because it can be changed into a prime (270738431) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 266758 + ... + 267770.

Almost surely, 2^270738432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 270738432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (404753310).

270738432 is an abundant number, since it is smaller than the sum of its proper divisors (538768188).

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

270738432 is a wasteful number, since it uses less digits than its factorization.

270738432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 270738432 is about 16454.1311529962. The cubic root of 270738432 is about 646.9190941867.

The spelling of 270738432 in words is "two hundred seventy million, seven hundred thirty-eight thousand, four hundred thirty-two".