476307540 has 120 divisors (see below), whose sum is σ = 1501121160. Its totient is φ = 126427392.

The previous prime is 476307493. The next prime is 476307551. The reversal of 476307540 is 45703674.

It can be written as a sum of positive squares in 4 ways, for example, as 69155856 + 407151684 = 8316^2 + 20178^2 .

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 = 476307495 and 476307504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 435234 + ... + 436326.

It is an arithmetic number, because the mean of its divisors is an integer number (12509343).

Almost surely, 2^476307540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476307540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750560580).

476307540 is an abundant number, since it is smaller than the sum of its proper divisors (1024813620).

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

476307540 is a wasteful number, since it uses less digits than its factorization.

476307540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1383 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 476307540 is about 21824.4711276127. The cubic root of 476307540 is about 780.9606506931.

The spelling of 476307540 in words is "four hundred seventy-six million, three hundred seven thousand, five hundred forty".