478419480 has 384 divisors, whose sum is σ = 2007129600. Its totient is φ = 99221760.

The previous prime is 478419479. The next prime is 478419511. The reversal of 478419480 is 84914874.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 914499 + ... + 915021.

It is an arithmetic number, because the mean of its divisors is an integer number (5226900).

Almost surely, 2^478419480 is an apocalyptic number.

478419480 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 478419480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003564800).

478419480 is an abundant number, since it is smaller than the sum of its proper divisors (1528710120).

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

478419480 is a wasteful number, since it uses less digits than its factorization.

478419480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 478419480 is about 21872.8022896016. The cubic root of 478419480 is about 782.1132045697.

The spelling of 478419480 in words is "four hundred seventy-eight million, four hundred nineteen thousand, four hundred eighty".