477420480 has 280 divisors, whose sum is σ = 1723808592. Its totient is φ = 125411328.

The previous prime is 477420473. The next prime is 477420487. The reversal of 477420480 is 84024774.

It is an interprime number because it is at equal distance from previous prime (477420473) and next prime (477420487).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477420487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2928879 + ... + 2929041.

Almost surely, 2^477420480 is an apocalyptic number.

477420480 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 477420480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861904296).

477420480 is an abundant number, since it is smaller than the sum of its proper divisors (1246388112).

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

477420480 is a wasteful number, since it uses less digits than its factorization.

477420480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 477420480 is about 21849.9537756948. The cubic root of 477420480 is about 781.5684416612.

The spelling of 477420480 in words is "four hundred seventy-seven million, four hundred twenty thousand, four hundred eighty".