270406400 has 216 divisors, whose sum is σ = 766450944. Its totient is φ = 93491200.

The previous prime is 270406399. The next prime is 270406453. The reversal of 270406400 is 4604072.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1619117 + ... + 1619283.

It is an arithmetic number, because the mean of its divisors is an integer number (3548384).

Almost surely, 2^270406400 is an apocalyptic number.

270406400 is a gapful number since it is divisible by the number (20) 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 270406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383225472).

270406400 is an abundant number, since it is smaller than the sum of its proper divisors (496044544).

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

270406400 is a wasteful number, since it uses less digits than its factorization.

270406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 23.

The square root of 270406400 is about 16444.0384334263. The cubic root of 270406400 is about 646.6545267616.

The spelling of 270406400 in words is "two hundred seventy million, four hundred six thousand, four hundred".