476580240 has 320 divisors, whose sum is σ = 1754887680. Its totient is φ = 118609920.

The previous prime is 476580197. The next prime is 476580241. The reversal of 476580240 is 42085674.

476580240 is a `hidden beast` number, since 4 + 76 + 580 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 476580195 and 476580204.

It is not an unprimeable number, because it can be changed into a prime (476580241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2632950 + ... + 2633130.

It is an arithmetic number, because the mean of its divisors is an integer number (5484024).

Almost surely, 2^476580240 is an apocalyptic number.

476580240 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 476580240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877443840).

476580240 is an abundant number, since it is smaller than the sum of its proper divisors (1278307440).

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

476580240 is a wasteful number, since it uses less digits than its factorization.

476580240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 476580240 is about 21830.7178077131. The cubic root of 476580240 is about 781.1096631980.

The spelling of 476580240 in words is "four hundred seventy-six million, five hundred eighty thousand, two hundred forty".