479016480 has 192 divisors, whose sum is σ = 1632960000. Its totient is φ = 117571584.

The previous prime is 479016449. The next prime is 479016511. The reversal of 479016480 is 84610974.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (479016449) and next prime (479016511).

It is a super-2 number, since 2×479016480² = 458913576223180800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 382896 + ... + 384144.

It is an arithmetic number, because the mean of its divisors is an integer number (8505000).

Almost surely, 2^479016480 is an apocalyptic number.

479016480 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 479016480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816480000).

479016480 is an abundant number, since it is smaller than the sum of its proper divisors (1153943520).

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

479016480 is a wasteful number, since it uses less digits than its factorization.

479016480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1331 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 479016480 is about 21886.4451202108. The cubic root of 479016480 is about 782.4383916491.

The spelling of 479016480 in words is "four hundred seventy-nine million, sixteen thousand, four hundred eighty".