427097664 has 448 divisors, whose sum is σ = 1591787520. Its totient is φ = 109486080.

The previous prime is 427097641. The next prime is 427097677. The reversal of 427097664 is 466790724.

It is a tau number, because it is divible by the number of its divisors (448).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6374559 + ... + 6374625.

Almost surely, 2^427097664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427097664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795893760).

427097664 is an abundant number, since it is smaller than the sum of its proper divisors (1164689856).

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

427097664 is a wasteful number, since it uses less digits than its factorization.

427097664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 427097664 is about 20666.3413307726. The cubic root of 427097664 is about 753.0822278103.

The spelling of 427097664 in words is "four hundred twenty-seven million, ninety-seven thousand, six hundred sixty-four".