470006064 has 100 divisors (see below), whose sum is σ = 1484045640. Its totient is φ = 142421760.

The previous prime is 470006057. The next prime is 470006071. The reversal of 470006064 is 460600074.

It is an interprime number because it is at equal distance from previous prime (470006057) and next prime (470006071).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2229 + ... + 30740.

Almost surely, 2^470006064 is an apocalyptic number.

470006064 is a gapful number since it is divisible by the number (44) 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 470006064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742022820).

470006064 is an abundant number, since it is smaller than the sum of its proper divisors (1014039576).

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

470006064 is a wasteful number, since it uses less digits than its factorization.

470006064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33000 (or 32985 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 470006064 is about 21679.6232439588. The cubic root of 470006064 is about 777.5013535127.

The spelling of 470006064 in words is "four hundred seventy million, six thousand, sixty-four".