475779744 has 360 divisors, whose sum is σ = 1618118964. Its totient is φ = 136857600.

The previous prime is 475779743. The next prime is 475779749. The reversal of 475779744 is 447977574.

It can be written as a sum of positive squares in 2 ways, for example, as 474368400 + 1411344 = 21780^2 + 1188^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (475779743) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 11604364 + ... + 11604404.

Almost surely, 2^475779744 is an apocalyptic number.

475779744 is a gapful number since it is divisible by the number (44) 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 475779744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809059482).

475779744 is an abundant number, since it is smaller than the sum of its proper divisors (1142339220).

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

475779744 is a wasteful number, since it uses less digits than its factorization.

475779744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 94 counting only the distinct ones).

The product of its digits is 6914880, while the sum is 54.

The square root of 475779744 is about 21812.3759366099. The cubic root of 475779744 is about 780.6720834579.

The spelling of 475779744 in words is "four hundred seventy-five million, seven hundred seventy-nine thousand, seven hundred forty-four".