270076464 has 320 divisors, whose sum is σ = 949780480. Its totient is φ = 71850240.

The previous prime is 270076459. The next prime is 270076481. The reversal of 270076464 is 464670072.

270076464 is a `hidden beast` number, since 2 + 7 + 0 + 0 + 7 + 646 + 4 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4030959 + ... + 4031025.

It is an arithmetic number, because the mean of its divisors is an integer number (2968064).

Almost surely, 2^270076464 is an apocalyptic number.

270076464 is a gapful number since it is divisible by the number (24) 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 270076464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474890240).

270076464 is an abundant number, since it is smaller than the sum of its proper divisors (679704016).

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

270076464 is a wasteful number, since it uses less digits than its factorization.

270076464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 153 counting only the distinct ones).

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

The square root of 270076464 is about 16434.0032858704. The cubic root of 270076464 is about 646.3914148412.

The spelling of 270076464 in words is "two hundred seventy million, seventy-six thousand, four hundred sixty-four".