470791440 has 400 divisors, whose sum is σ = 1905628032. Its totient is φ = 105504768.

The previous prime is 470791427. The next prime is 470791457. The reversal of 470791440 is 44197074.

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 = 470791395 and 470791404.

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 79 ways as a sum of consecutive naturals, for example, 4399867 + ... + 4399973.

Almost surely, 2^470791440 is an apocalyptic number.

470791440 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 470791440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952814016).

470791440 is an abundant number, since it is smaller than the sum of its proper divisors (1434836592).

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

470791440 is a wasteful number, since it uses less digits than its factorization.

470791440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 221 counting only the distinct ones).

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

The square root of 470791440 is about 21697.7289134140. The cubic root of 470791440 is about 777.9341784949.

The spelling of 470791440 in words is "four hundred seventy million, seven hundred ninety-one thousand, four hundred forty".