427605120 has 192 divisors, whose sum is σ = 1502013240. Its totient is φ = 112066560.

The previous prime is 427605109. The next prime is 427605133. The reversal of 427605120 is 21506724.

427605120 is a `hidden beast` number, since 42 + 7 + 605 + 12 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 186486336 + 241118784 = 13656^2 + 15528^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×427605120² = 365692277300428800, which contains 22 as substring.

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, 350752 + ... + 351968.

Almost surely, 2^427605120 is an apocalyptic number.

427605120 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 427605120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751006620).

427605120 is an abundant number, since it is smaller than the sum of its proper divisors (1074408120).

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

427605120 is a wasteful number, since it uses less digits than its factorization.

427605120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 427605120 is about 20678.6150406646. The cubic root of 427605120 is about 753.3803679268.

The spelling of 427605120 in words is "four hundred twenty-seven million, six hundred five thousand, one hundred twenty".