477775440 has 120 divisors (see below), whose sum is σ = 1621307688. Its totient is φ = 126074880.

The previous prime is 477775433. The next prime is 477775447. The reversal of 477775440 is 44577774.

It is an interprime number because it is at equal distance from previous prime (477775433) and next prime (477775447).

It can be written as a sum of positive squares in 4 ways, for example, as 83832336 + 393943104 = 9156^2 + 19848^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (477775447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66420 + ... + 73260.

Almost surely, 2^477775440 is an apocalyptic number.

477775440 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 477775440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810653844).

477775440 is an abundant number, since it is smaller than the sum of its proper divisors (1143532248).

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

477775440 is a wasteful number, since it uses less digits than its factorization.

477775440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6957 (or 6948 counting only the distinct ones).

The product of its (nonzero) digits is 768320, while the sum is 45.

The square root of 477775440 is about 21858.0749381093. The cubic root of 477775440 is about 781.7620912281.

The spelling of 477775440 in words is "four hundred seventy-seven million, seven hundred seventy-five thousand, four hundred forty".