470519280 has 800 divisors, whose sum is σ = 2177860608. Its totient is φ = 91238400.

The previous prime is 470519279. The next prime is 470519293. The reversal of 470519280 is 82915074.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11476060 + ... + 11476100.

Almost surely, 2^470519280 is an apocalyptic number.

470519280 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 470519280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088930304).

470519280 is an abundant number, since it is smaller than the sum of its proper divisors (1707341328).

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

470519280 is a wasteful number, since it uses less digits than its factorization.

470519280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 470519280 is about 21691.4563826406. The cubic root of 470519280 is about 777.7842441790.

The spelling of 470519280 in words is "four hundred seventy million, five hundred nineteen thousand, two hundred eighty".