270474758400 has 864 divisors, whose sum is σ = 1171575014400. Its totient is φ = 53238988800.

The previous prime is 270474758399. The next prime is 270474758471. The reversal of 270474758400 is 4857474072.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 270474758400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28084786 + ... + 28094414.

It is an arithmetic number, because the mean of its divisors is an integer number (1355989600).

Almost surely, 2^270474758400 is an apocalyptic number.

270474758400 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 270474758400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585787507200).

270474758400 is an abundant number, since it is smaller than the sum of its proper divisors (901100256000).

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

270474758400 is a wasteful number, since it uses less digits than its factorization.

270474758400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9695 (or 9676 counting only the distinct ones).

The product of its (nonzero) digits is 1756160, while the sum is 48.

The spelling of 270474758400 in words is "two hundred seventy billion, four hundred seventy-four million, seven hundred fifty-eight thousand, four hundred".