476030940 has 576 divisors, whose sum is σ = 1930521600. Its totient is φ = 85155840.

The previous prime is 476030903. The next prime is 476030953. The reversal of 476030940 is 49030674.

476030940 is a nontrivial binomial coefficient, being equal to C(30856, 2).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16414846 + ... + 16414874.

It is an arithmetic number, because the mean of its divisors is an integer number (3351600).

Almost surely, 2^476030940 is an apocalyptic number.

476030940 is the 30855-th triangular number and also the 15428-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 476030940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965260800).

476030940 is an abundant number, since it is smaller than the sum of its proper divisors (1454490660).

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

476030940 is a wasteful number, since it uses less digits than its factorization.

476030940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 476030940 is about 21818.1332840369. The cubic root of 476030940 is about 780.8094489830.

The spelling of 476030940 in words is "four hundred seventy-six million, thirty thousand, nine hundred forty".