427620960 has 288 divisors, whose sum is σ = 1604873088. Its totient is φ = 103034880.

The previous prime is 427620959. The next prime is 427620983. The reversal of 427620960 is 69026724.

It is a happy number.

427620960 is a `hidden beast` number, since 4 + 27 + 620 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 991945 + ... + 992375.

It is an arithmetic number, because the mean of its divisors is an integer number (5572476).

Almost surely, 2^427620960 is an apocalyptic number.

427620960 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 427620960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802436544).

427620960 is an abundant number, since it is smaller than the sum of its proper divisors (1177252128).

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

427620960 is a wasteful number, since it uses less digits than its factorization.

427620960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 427620960 is about 20678.9980414913. The cubic root of 427620960 is about 753.3896704329.

The spelling of 427620960 in words is "four hundred twenty-seven million, six hundred twenty thousand, nine hundred sixty".