470133600 has 288 divisors, whose sum is σ = 1619896320. Its totient is φ = 118272000.

The previous prime is 470133493. The next prime is 470133613. The reversal of 470133600 is 6331074.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5282356 + ... + 5282444.

It is an arithmetic number, because the mean of its divisors is an integer number (5624640).

Almost surely, 2^470133600 is an apocalyptic number.

470133600 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 470133600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809948160).

470133600 is an abundant number, since it is smaller than the sum of its proper divisors (1149762720).

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

470133600 is a wasteful number, since it uses less digits than its factorization.

470133600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 470133600 is about 21682.5644239790. The cubic root of 470133600 is about 777.5716720700.

Adding to 470133600 its reverse (6331074), we get a palindrome (476464674).

The spelling of 470133600 in words is "four hundred seventy million, one hundred thirty-three thousand, six hundred".