477287120 has 40 divisors (see below), whose sum is σ = 1110929640. Its totient is φ = 190702080.

The previous prime is 477287117. The next prime is 477287131. The reversal of 477287120 is 21782774.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20866624 + 456420496 = 4568^2 + 21364^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 82730 + ... + 88310.

It is an arithmetic number, because the mean of its divisors is an integer number (27773241).

Almost surely, 2^477287120 is an apocalyptic number.

477287120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

477287120 is an abundant number, since it is smaller than the sum of its proper divisors (633642520).

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

477287120 is a wasteful number, since it uses less digits than its factorization.

477287120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6663 (or 6657 counting only the distinct ones).

The product of its (nonzero) digits is 43904, while the sum is 38.

The square root of 477287120 is about 21846.9018398491. The cubic root of 477287120 is about 781.4956618802.

The spelling of 477287120 in words is "four hundred seventy-seven million, two hundred eighty-seven thousand, one hundred twenty".