470345400 has 384 divisors, whose sum is σ = 1935590400. Its totient is φ = 102643200.

The previous prime is 470345383. The next prime is 470345417. The reversal of 470345400 is 4543074.

It is an interprime number because it is at equal distance from previous prime (470345383) and next prime (470345417).

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 869130 + ... + 869670.

It is an arithmetic number, because the mean of its divisors is an integer number (5040600).

Almost surely, 2^470345400 is an apocalyptic number.

470345400 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 470345400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967795200).

470345400 is an abundant number, since it is smaller than the sum of its proper divisors (1465245000).

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

470345400 is a wasteful number, since it uses less digits than its factorization.

470345400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 470345400 is about 21687.4479826466. The cubic root of 470345400 is about 777.6884225390.

Adding to 470345400 its reverse (4543074), we get a palindrome (474888474).

The spelling of 470345400 in words is "four hundred seventy million, three hundred forty-five thousand, four hundred".