470793600 has 192 divisors, whose sum is σ = 1723290000. Its totient is φ = 125521920.

The previous prime is 470793599. The next prime is 470793607. The reversal of 470793600 is 6397074.

470793600 is a `hidden beast` number, since 47 + 0 + 7 + 9 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×470793600² = 443293227601920000, which contains 22 as substring.

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 (470793607) 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, 83676 + ... + 89124.

Almost surely, 2^470793600 is an apocalyptic number.

470793600 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 470793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861645000).

470793600 is an abundant number, since it is smaller than the sum of its proper divisors (1252496400).

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

470793600 is a wasteful number, since it uses less digits than its factorization.

470793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5482 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 470793600 is about 21697.7786881515. The cubic root of 470793600 is about 777.9353682186.

The spelling of 470793600 in words is "four hundred seventy million, seven hundred ninety-three thousand, six hundred".