470219904 has 640 divisors, whose sum is σ = 1895731200. Its totient is φ = 111974400.

The previous prime is 470219899. The next prime is 470219917. The reversal of 470219904 is 409912074.

It is a super-2 number, since 2×470219904² = 442213516235538432, which contains 22 as substring.

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 79 ways as a sum of consecutive naturals, for example, 15168369 + ... + 15168399.

It is an arithmetic number, because the mean of its divisors is an integer number (2962080).

Almost surely, 2^470219904 is an apocalyptic number.

470219904 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 470219904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (947865600).

470219904 is an abundant number, since it is smaller than the sum of its proper divisors (1425511296).

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

470219904 is a wasteful number, since it uses less digits than its factorization.

470219904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 470219904 is about 21684.5545031481. The cubic root of 470219904 is about 777.6192496378.

The spelling of 470219904 in words is "four hundred seventy million, two hundred nineteen thousand, nine hundred four".