270649440 has 72 divisors (see below), whose sum is σ = 923596128. Its totient is φ = 72172800.

The previous prime is 270649417. The next prime is 270649447. The reversal of 270649440 is 44946072.

270649440 is a `hidden beast` number, since 2 + 7 + 0 + 649 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×270649440² = 146502238744627200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 270649395 and 270649404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270649447) 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, 92536 + ... + 95415.

It is an arithmetic number, because the mean of its divisors is an integer number (12827724).

Almost surely, 2^270649440 is an apocalyptic number.

270649440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

270649440 is an abundant number, since it is smaller than the sum of its proper divisors (652946688).

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

270649440 is a wasteful number, since it uses less digits than its factorization.

270649440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187972 (or 187961 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 270649440 is about 16451.4266858531. The cubic root of 270649440 is about 646.8482054294.

The spelling of 270649440 in words is "two hundred seventy million, six hundred forty-nine thousand, four hundred forty".