427658880 has 128 divisors (see below), whose sum is σ = 1487160000. Its totient is φ = 103669760.

The previous prime is 427658873. The next prime is 427658887. The reversal of 427658880 is 88856724.

It is an interprime number because it is at equal distance from previous prime (427658873) and next prime (427658887).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (427658887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10996 + ... + 31244.

Almost surely, 2^427658880 is an apocalyptic number.

427658880 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 427658880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743580000).

427658880 is an abundant number, since it is smaller than the sum of its proper divisors (1059501120).

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

427658880 is a wasteful number, since it uses less digits than its factorization.

427658880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20282 (or 20270 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The square root of 427658880 is about 20679.9148934419. The cubic root of 427658880 is about 753.4119391354.

The spelling of 427658880 in words is "four hundred twenty-seven million, six hundred fifty-eight thousand, eight hundred eighty".