270476416 has 64 divisors (see below), whose sum is σ = 623407680. Its totient is φ = 114490368.

The previous prime is 270476411. The next prime is 270476441. The reversal of 270476416 is 614674072.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×270476416² = 146314983224410112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (270476411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72550 + ... + 76186.

It is an arithmetic number, because the mean of its divisors is an integer number (9740745).

Almost surely, 2^270476416 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 270476416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311703840).

270476416 is an abundant number, since it is smaller than the sum of its proper divisors (352931264).

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

270476416 is an equidigital number, since it uses as much as digits as its factorization.

270476416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The square root of 270476416 is about 16446.1672130621. The cubic root of 270476416 is about 646.7103344350.

The spelling of 270476416 in words is "two hundred seventy million, four hundred seventy-six thousand, four hundred sixteen".