470385600 has 252 divisors, whose sum is σ = 1609792056. Its totient is φ = 120207360.

The previous prime is 470385571. The next prime is 470385607. The reversal of 470385600 is 6583074.

It is a super-2 number, since 2×470385600² = 442525225374720000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470385607) 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, 8875174 + ... + 8875226.

Almost surely, 2^470385600 is an apocalyptic number.

470385600 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 470385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804896028).

470385600 is an abundant number, since it is smaller than the sum of its proper divisors (1139406456).

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

470385600 is a wasteful number, since it uses less digits than its factorization.

470385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 470385600 is about 21688.3747662198. The cubic root of 470385600 is about 777.7105780188.

The spelling of 470385600 in words is "four hundred seventy million, three hundred eighty-five thousand, six hundred".