470934000 has 560 divisors, whose sum is σ = 1902869280. Its totient is φ = 111974400.

The previous prime is 470933899. The next prime is 470934007. The reversal of 470934000 is 439074.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470934007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 24785991 + ... + 24786009.

Almost surely, 2^470934000 is an apocalyptic number.

470934000 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 470934000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951434640).

470934000 is an abundant number, since it is smaller than the sum of its proper divisors (1431935280).

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

470934000 is a wasteful number, since it uses less digits than its factorization.

470934000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 46 counting only the distinct ones).

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

The square root of 470934000 is about 21701.0138012029. The cubic root of 470934000 is about 778.0126924573.

The spelling of 470934000 in words is "four hundred seventy million, nine hundred thirty-four thousand".