477495360 has 168 divisors, whose sum is σ = 1687150296. Its totient is φ = 123863040.

The previous prime is 477495313. The next prime is 477495367. The reversal of 477495360 is 63594774.

477495360 is a `hidden beast` number, since 4 + 77 + 49 + 536 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 198471744 + 279023616 = 14088^2 + 16704^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477495367) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104320 + ... + 108800.

Almost surely, 2^477495360 is an apocalyptic number.

477495360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477495360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (843575148).

477495360 is an abundant number, since it is smaller than the sum of its proper divisors (1209654936).

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

477495360 is a wasteful number, since it uses less digits than its factorization.

477495360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4541 (or 4528 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 477495360 is about 21851.6672132815. The cubic root of 477495360 is about 781.6093006719.

The spelling of 477495360 in words is "four hundred seventy-seven million, four hundred ninety-five thousand, three hundred sixty".