427768470 has 96 divisors (see below), whose sum is σ = 1202554080. Its totient is φ = 105131520.

The previous prime is 427768447. The next prime is 427768477. The reversal of 427768470 is 74867724.

It is a super-2 number, since 2×427768470² = 365971727852281800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427768477) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59890 + ... + 66650.

It is an arithmetic number, because the mean of its divisors is an integer number (12526605).

Almost surely, 2^427768470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427768470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601277040).

427768470 is an abundant number, since it is smaller than the sum of its proper divisors (774785610).

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

427768470 is a wasteful number, since it uses less digits than its factorization.

427768470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6830 (or 6827 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 45.

The square root of 427768470 is about 20682.5643961284. The cubic root of 427768470 is about 753.4762889919.

The spelling of 427768470 in words is "four hundred twenty-seven million, seven hundred sixty-eight thousand, four hundred seventy".