427472640 has 720 divisors, whose sum is σ = 1899448320. Its totient is φ = 89579520.

The previous prime is 427472627. The next prime is 427472651. The reversal of 427472640 is 46274724.

It is a happy number.

427472640 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 7 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 427472595 and 427472604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13789425 + ... + 13789455.

Almost surely, 2^427472640 is an apocalyptic number.

427472640 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 427472640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (949724160).

427472640 is an abundant number, since it is smaller than the sum of its proper divisors (1471975680).

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

427472640 is a wasteful number, since it uses less digits than its factorization.

427472640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 36.

The square root of 427472640 is about 20675.4114832087. The cubic root of 427472640 is about 753.3025561516.

The spelling of 427472640 in words is "four hundred twenty-seven million, four hundred seventy-two thousand, six hundred forty".