427411280 has 80 divisors (see below), whose sum is σ = 1088568720. Its totient is φ = 155344896.

The previous prime is 427411253. The next prime is 427411307. The reversal of 427411280 is 82114724.

It is an interprime number because it is at equal distance from previous prime (427411253) and next prime (427411307).

It can be written as a sum of positive squares in 8 ways, for example, as 1731856 + 425679424 = 1316^2 + 20632^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34022 + ... + 44858.

It is an arithmetic number, because the mean of its divisors is an integer number (13607109).

Almost surely, 2^427411280 is an apocalyptic number.

427411280 is a gapful number since it is divisible by the number (40) 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 427411280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544284360).

427411280 is an abundant number, since it is smaller than the sum of its proper divisors (661157440).

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

427411280 is a wasteful number, since it uses less digits than its factorization.

427411280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10896 (or 10890 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 29.

The square root of 427411280 is about 20673.9275417130. The cubic root of 427411280 is about 753.2665110715.

The spelling of 427411280 in words is "four hundred twenty-seven million, four hundred eleven thousand, two hundred eighty".