477638742 has 32 divisors (see below), whose sum is σ = 1095657984. Its totient is φ = 135979200.

The previous prime is 477638741. The next prime is 477638747. The reversal of 477638742 is 247836774.

It is a junction number, because it is equal to n+sod(n) for n = 477638691 and 477638700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477638741) 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 15 ways as a sum of consecutive naturals, for example, 8434 + ... + 32037.

It is an arithmetic number, because the mean of its divisors is an integer number (34239312).

Almost surely, 2^477638742 is an apocalyptic number.

477638742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

477638742 is an abundant number, since it is smaller than the sum of its proper divisors (618019242).

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

477638742 is a wasteful number, since it uses less digits than its factorization.

477638742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40764.

The product of its digits is 1580544, while the sum is 48.

The square root of 477638742 is about 21854.9477693267. The cubic root of 477638742 is about 781.6875265554.

The spelling of 477638742 in words is "four hundred seventy-seven million, six hundred thirty-eight thousand, seven hundred forty-two".