475963488 has 432 divisors, whose sum is σ = 1841688576. Its totient is φ = 113218560.

The previous prime is 475963463. The next prime is 475963493. The reversal of 475963488 is 884369574.

475963488 is a `hidden beast` number, since 4 + 7 + 596 + 3 + 48 + 8 = 666.

It is a super-2 number, since 2×475963488² = 453082483818252288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3747681 + ... + 3747807.

It is an arithmetic number, because the mean of its divisors is an integer number (4263168).

Almost surely, 2^475963488 is an apocalyptic number.

475963488 is a gapful number since it is divisible by the number (48) 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 475963488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (920844288).

475963488 is an abundant number, since it is smaller than the sum of its proper divisors (1365725088).

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

475963488 is a wasteful number, since it uses less digits than its factorization.

475963488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 163 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The square root of 475963488 is about 21816.5874508366. The cubic root of 475963488 is about 780.7725678741.

The spelling of 475963488 in words is "four hundred seventy-five million, nine hundred sixty-three thousand, four hundred eighty-eight".