470438640 has 240 divisors, whose sum is σ = 1864452096. Its totient is φ = 104025600.

The previous prime is 470438629. The next prime is 470438641. The reversal of 470438640 is 46834074.

470438640 is a `hidden beast` number, since 4 + 7 + 0 + 4 + 3 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 470438595 and 470438604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470438641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154735 + ... + 157745.

Almost surely, 2^470438640 is an apocalyptic number.

470438640 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 470438640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (932226048).

470438640 is an abundant number, since it is smaller than the sum of its proper divisors (1394013456).

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

470438640 is a wasteful number, since it uses less digits than its factorization.

470438640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3068 (or 3059 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 470438640 is about 21689.5975066390. The cubic root of 470438640 is about 777.7398080935.

The spelling of 470438640 in words is "four hundred seventy million, four hundred thirty-eight thousand, six hundred forty".