470790144 has 312 divisors, whose sum is σ = 1574244672. Its totient is φ = 139345920.

The previous prime is 470790139. The next prime is 470790161. The reversal of 470790144 is 441097074.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 470790099 and 470790108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10948587 + ... + 10948629.

It is an arithmetic number, because the mean of its divisors is an integer number (5045656).

Almost surely, 2^470790144 is an apocalyptic number.

470790144 is a gapful number since it is divisible by the number (44) 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 470790144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787122336).

470790144 is an abundant number, since it is smaller than the sum of its proper divisors (1103454528).

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

470790144 is an equidigital number, since it uses as much as digits as its factorization.

470790144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 470790144 is about 21697.6990485166. The cubic root of 470790144 is about 777.9334646589.

The spelling of 470790144 in words is "four hundred seventy million, seven hundred ninety thousand, one hundred forty-four".