427775964 has 192 divisors, whose sum is σ = 1334817792. Its totient is φ = 103219200.

The previous prime is 427775951. The next prime is 427775983. The reversal of 427775964 is 469577724.

It is a super-2 number, since 2×427775964² = 365984550752258592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1774884 + ... + 1775124.

It is an arithmetic number, because the mean of its divisors is an integer number (6952176).

Almost surely, 2^427775964 is an apocalyptic number.

427775964 is a gapful number since it is divisible by the number (44) 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 427775964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (667408896).

427775964 is an abundant number, since it is smaller than the sum of its proper divisors (907041828).

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

427775964 is a wasteful number, since it uses less digits than its factorization.

427775964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 394 counting only the distinct ones).

The product of its digits is 2963520, while the sum is 51.

The square root of 427775964 is about 20682.7455624247. The cubic root of 427775964 is about 753.4806889721.

The spelling of 427775964 in words is "four hundred twenty-seven million, seven hundred seventy-five thousand, nine hundred sixty-four".