427583772 has 288 divisors, whose sum is σ = 1452971520. Its totient is φ = 106686720.

The previous prime is 427583759. The next prime is 427583789. The reversal of 427583772 is 277385724.

427583772 is a `hidden beast` number, since 4 + 275 + 8 + 377 + 2 = 666.

It is a congruent number.

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, 2170378 + ... + 2170574.

It is an arithmetic number, because the mean of its divisors is an integer number (5045040).

Almost surely, 2^427583772 is an apocalyptic number.

427583772 is a gapful number since it is divisible by the number (42) 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 427583772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726485760).

427583772 is an abundant number, since it is smaller than the sum of its proper divisors (1025387748).

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

427583772 is a wasteful number, since it uses less digits than its factorization.

427583772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 249 counting only the distinct ones).

The product of its digits is 658560, while the sum is 45.

The square root of 427583772 is about 20678.0988487820. The cubic root of 427583772 is about 753.3678303222.

The spelling of 427583772 in words is "four hundred twenty-seven million, five hundred eighty-three thousand, seven hundred seventy-two".