270464832 has 392 divisors, whose sum is σ = 959461632. Its totient is φ = 74649600.

The previous prime is 270464819. The next prime is 270464833. The reversal of 270464832 is 238464072.

270464832 is a `hidden beast` number, since 2 + 7 + 0 + 4 + 648 + 3 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270464833) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 8724657 + ... + 8724687.

Almost surely, 2^270464832 is an apocalyptic number.

270464832 is a gapful number since it is divisible by the number (22) 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 270464832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479730816).

270464832 is an abundant number, since it is smaller than the sum of its proper divisors (688996800).

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

270464832 is a wasteful number, since it uses less digits than its factorization.

270464832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 270464832 is about 16445.8150299704. The cubic root of 270464832 is about 646.7011018377.

It can be divided in two parts, 27046 and 4832, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 270464832 in words is "two hundred seventy million, four hundred sixty-four thousand, eight hundred thirty-two".