477152940 has 288 divisors, whose sum is σ = 1648636416. Its totient is φ = 101713920.

The previous prime is 477152933. The next prime is 477152971. The reversal of 477152940 is 49251774.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11096559 + ... + 11096601.

It is an arithmetic number, because the mean of its divisors is an integer number (5724432).

Almost surely, 2^477152940 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 477152940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824318208).

477152940 is an abundant number, since it is smaller than the sum of its proper divisors (1171483476).

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

477152940 is a wasteful number, since it uses less digits than its factorization.

477152940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 477152940 is about 21843.8307080054. The cubic root of 477152940 is about 781.4224209095.

The spelling of 477152940 in words is "four hundred seventy-seven million, one hundred fifty-two thousand, nine hundred forty".