477042480 has 320 divisors, whose sum is σ = 1737031680. Its totient is φ = 120185856.

The previous prime is 477042463. The next prime is 477042541. The reversal of 477042480 is 84240774.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3756177 + ... + 3756303.

It is an arithmetic number, because the mean of its divisors is an integer number (5428224).

Almost surely, 2^477042480 is an apocalyptic number.

477042480 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 477042480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (868515840).

477042480 is an abundant number, since it is smaller than the sum of its proper divisors (1259989200).

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

477042480 is a wasteful number, since it uses less digits than its factorization.

477042480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 221 counting only the distinct ones).

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

The square root of 477042480 is about 21841.3021589831. The cubic root of 477042480 is about 781.3621169867.

The spelling of 477042480 in words is "four hundred seventy-seven million, forty-two thousand, four hundred eighty".