470403648 has 168 divisors, whose sum is σ = 1584326016. Its totient is φ = 131558400.

The previous prime is 470403623. The next prime is 470403649. The reversal of 470403648 is 846304074.

470403648 is a `hidden beast` number, since 4 + 7 + 0 + 4 + 0 + 3 + 648 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470403649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79513 + ... + 85223.

It is an arithmetic number, because the mean of its divisors is an integer number (9430512).

Almost surely, 2^470403648 is an apocalyptic number.

470403648 is a gapful number since it is divisible by the number (48) 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 470403648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792163008).

470403648 is an abundant number, since it is smaller than the sum of its proper divisors (1113922368).

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

470403648 is a wasteful number, since it uses less digits than its factorization.

470403648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5753 (or 5740 counting only the distinct ones).

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

The square root of 470403648 is about 21688.7908376654. The cubic root of 470403648 is about 777.7205244266.

The spelling of 470403648 in words is "four hundred seventy million, four hundred three thousand, six hundred forty-eight".