475745400 has 336 divisors, whose sum is σ = 1793088360. Its totient is φ = 116640000.

The previous prime is 475745393. The next prime is 475745401. The reversal of 475745400 is 4547574.

475745400 is a `hidden beast` number, since 47 + 5 + 74 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475745401) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1895275 + ... + 1895525.

Almost surely, 2^475745400 is an apocalyptic number.

475745400 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 475745400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896544180).

475745400 is an abundant number, since it is smaller than the sum of its proper divisors (1317342960).

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

475745400 is a wasteful number, since it uses less digits than its factorization.

475745400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 475745400 is about 21811.5886629104. The cubic root of 475745400 is about 780.6532988224.

The spelling of 475745400 in words is "four hundred seventy-five million, seven hundred forty-five thousand, four hundred".