427920192 has 224 divisors, whose sum is σ = 1523024640. Its totient is φ = 115015680.

The previous prime is 427920173. The next prime is 427920203. The reversal of 427920192 is 291029724.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204592 + ... + 206672.

Almost surely, 2^427920192 is an apocalyptic number.

427920192 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 427920192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (761512320).

427920192 is an abundant number, since it is smaller than the sum of its proper divisors (1095104448).

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

427920192 is a wasteful number, since it uses less digits than its factorization.

427920192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2110 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 427920192 is about 20686.2319430098. The cubic root of 427920192 is about 753.5653600857.

The spelling of 427920192 in words is "four hundred twenty-seven million, nine hundred twenty thousand, one hundred ninety-two".