470642400 has 288 divisors, whose sum is σ = 1729576800. Its totient is φ = 125038080.

The previous prime is 470642339. The next prime is 470642423. The reversal of 470642400 is 4246074.

It is a tau number, because it is divible by the number of its divisors (288).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1749466 + ... + 1749734.

It is an arithmetic number, because the mean of its divisors is an integer number (6005475).

Almost surely, 2^470642400 is an apocalyptic number.

470642400 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 470642400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864788400).

470642400 is an abundant number, since it is smaller than the sum of its proper divisors (1258934400).

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

470642400 is an equidigital number, since it uses as much as digits as its factorization.

470642400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 470642400 is about 21694.2941807287. The cubic root of 470642400 is about 777.8520787673.

Adding to 470642400 its reverse (4246074), we get a palindrome (474888474).

The spelling of 470642400 in words is "four hundred seventy million, six hundred forty-two thousand, four hundred".