427456440 has 224 divisors, whose sum is σ = 1466106480. Its totient is φ = 112098816.

The previous prime is 427456429. The next prime is 427456451. The reversal of 427456440 is 44654724.

427456440 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 5 + 644 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (427456429) and next prime (427456451).

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

It is a junction number, because it is equal to n+sod(n) for n = 427456395 and 427456404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3120052 + ... + 3120188.

Almost surely, 2^427456440 is an apocalyptic number.

427456440 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 427456440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733053240).

427456440 is an abundant number, since it is smaller than the sum of its proper divisors (1038650040).

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

427456440 is a wasteful number, since it uses less digits than its factorization.

427456440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The square root of 427456440 is about 20675.0197097850. The cubic root of 427456440 is about 753.2930400217.

The spelling of 427456440 in words is "four hundred twenty-seven million, four hundred fifty-six thousand, four hundred forty".