470499480 has 384 divisors, whose sum is σ = 1834747200. Its totient is φ = 103219200.

The previous prime is 470499443. The next prime is 470499487. The reversal of 470499480 is 84994074.

It is a Cunningham number, because it is equal to 21691²-1.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470499487) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1952160 + ... + 1952400.

Almost surely, 2^470499480 is an apocalyptic number.

470499480 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 470499480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917373600).

470499480 is an abundant number, since it is smaller than the sum of its proper divisors (1364247720).

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

470499480 is a wasteful number, since it uses less digits than its factorization.

With its successor (470499481) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (308).

470499480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 470499480 is about 21690.9999769490. Note that the first 4 decimals coincide. The cubic root of 470499480 is about 777.7733340033.

It can be divided in two parts, 4704994 and 80, that added together give a palindrome (4705074).

The spelling of 470499480 in words is "four hundred seventy million, four hundred ninety-nine thousand, four hundred eighty".