477465516 has 180 divisors, whose sum is σ = 1446438840. Its totient is φ = 136857600.

The previous prime is 477465491. The next prime is 477465589. The reversal of 477465516 is 615564774.

477465516 is a `hidden beast` number, since 4 + 7 + 74 + 65 + 516 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 744556 + ... + 745196.

Almost surely, 2^477465516 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 477465516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723219420).

477465516 is an abundant number, since it is smaller than the sum of its proper divisors (968973324).

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

477465516 is a wasteful number, since it uses less digits than its factorization.

477465516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 676 counting only the distinct ones).

The product of its digits is 705600, while the sum is 45.

The square root of 477465516 is about 21850.9843256545. The cubic root of 477465516 is about 781.5930165109.

The spelling of 477465516 in words is "four hundred seventy-seven million, four hundred sixty-five thousand, five hundred sixteen".