470613600 has 216 divisors, whose sum is σ = 1673845992. Its totient is φ = 124416000.

The previous prime is 470613593. The next prime is 470613607. The reversal of 470613600 is 6316074.

470613600 is a `hidden beast` number, since 47 + 0 + 6 + 13 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (470613593) and next prime (470613607).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470613607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1173400 + ... + 1173800.

It is an arithmetic number, because the mean of its divisors is an integer number (7749287).

Almost surely, 2^470613600 is an apocalyptic number.

470613600 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 470613600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836922996).

470613600 is an abundant number, since it is smaller than the sum of its proper divisors (1203232392).

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

470613600 is a wasteful number, since it uses less digits than its factorization.

470613600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 470613600 is about 21693.6304015718. The cubic root of 470613600 is about 777.8362120874.

Adding to 470613600 its reverse (6316074), we get a palindrome (476929674).

The spelling of 470613600 in words is "four hundred seventy million, six hundred thirteen thousand, six hundred".