427466760 has 128 divisors (see below), whose sum is σ = 1477509120. Its totient is φ = 96913152.

The previous prime is 427466749. The next prime is 427466771. The reversal of 427466760 is 67664724.

It is an interprime number because it is at equal distance from previous prime (427466749) and next prime (427466771).

It is a super-3 number, since 3×427466760³ (a number of 27 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 104677 + ... + 108683.

It is an arithmetic number, because the mean of its divisors is an integer number (11543040).

Almost surely, 2^427466760 is an apocalyptic number.

427466760 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 427466760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738754560).

427466760 is an abundant number, since it is smaller than the sum of its proper divisors (1050042360).

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

427466760 is a wasteful number, since it uses less digits than its factorization.

427466760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4155 (or 4151 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The square root of 427466760 is about 20675.2692848243. The cubic root of 427466760 is about 753.2991021767.

The spelling of 427466760 in words is "four hundred twenty-seven million, four hundred sixty-six thousand, seven hundred sixty".