270746400 has 144 divisors (see below), whose sum is σ = 891130464. Its totient is φ = 71393280.

The previous prime is 270746381. The next prime is 270746429. The reversal of 270746400 is 4647072.

It is a super-2 number, since 2×270746400² = 146607226225920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 232219 + ... + 233381.

It is an arithmetic number, because the mean of its divisors is an integer number (6188406).

Almost surely, 2^270746400 is an apocalyptic number.

270746400 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 270746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445565232).

270746400 is an abundant number, since it is smaller than the sum of its proper divisors (620384064).

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

270746400 is a wasteful number, since it uses less digits than its factorization.

270746400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1283 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 270746400 is about 16454.3732788581. The cubic root of 270746400 is about 646.9254405345.

The spelling of 270746400 in words is "two hundred seventy million, seven hundred forty-six thousand, four hundred".