477936240 has 80 divisors (see below), whose sum is σ = 1532714400. Its totient is φ = 123053056.

The previous prime is 477936233. The next prime is 477936257. The reversal of 477936240 is 42639774.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 477936192 and 477936201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27375 + ... + 41294.

It is an arithmetic number, because the mean of its divisors is an integer number (19158930).

Almost surely, 2^477936240 is an apocalyptic number.

477936240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

477936240 is an abundant number, since it is smaller than the sum of its proper divisors (1054778160).

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

477936240 is a wasteful number, since it uses less digits than its factorization.

477936240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68714 (or 68708 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 42.

The square root of 477936240 is about 21861.7529031869. The cubic root of 477936240 is about 781.8497846183.

The spelling of 477936240 in words is "four hundred seventy-seven million, nine hundred thirty-six thousand, two hundred forty".