270424778400 has 432 divisors, whose sum is σ = 1091627881344. Its totient is φ = 61708400640.

The previous prime is 270424778333. The next prime is 270424778443. The reversal of 270424778400 is 4877424072.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32604654 + ... + 32612946.

It is an arithmetic number, because the mean of its divisors is an integer number (2526916392).

Almost surely, 2^270424778400 is an apocalyptic number.

270424778400 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 270424778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545813940672).

270424778400 is an abundant number, since it is smaller than the sum of its proper divisors (821203102944).

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

270424778400 is a wasteful number, since it uses less digits than its factorization.

270424778400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8973 (or 8957 counting only the distinct ones).

The product of its (nonzero) digits is 702464, while the sum is 45.

The spelling of 270424778400 in words is "two hundred seventy billion, four hundred twenty-four million, seven hundred seventy-eight thousand, four hundred".