427901292 has 240 divisors, whose sum is σ = 1438897152. Its totient is φ = 107775360.

The previous prime is 427901267. The next prime is 427901303. The reversal of 427901292 is 292109724.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 677817 + ... + 678447.

Almost surely, 2^427901292 is an apocalyptic number.

427901292 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 427901292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719448576).

427901292 is an abundant number, since it is smaller than the sum of its proper divisors (1010995860).

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

427901292 is a wasteful number, since it uses less digits than its factorization.

427901292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 679 counting only the distinct ones).

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

The square root of 427901292 is about 20685.7751123810. The cubic root of 427901292 is about 753.5542656533.

The spelling of 427901292 in words is "four hundred twenty-seven million, nine hundred one thousand, two hundred ninety-two".