471377280 has 192 divisors, whose sum is σ = 1652338800. Its totient is φ = 114216960.

The previous prime is 471377261. The next prime is 471377297. The reversal of 471377280 is 82773174.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231306 + ... + 233334.

Almost surely, 2^471377280 is an apocalyptic number.

471377280 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 471377280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (826169400).

471377280 is an abundant number, since it is smaller than the sum of its proper divisors (1180961520).

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

471377280 is a wasteful number, since it uses less digits than its factorization.

471377280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073 (or 2050 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 39.

The square root of 471377280 is about 21711.2247466604. The cubic root of 471377280 is about 778.2567247522.

The spelling of 471377280 in words is "four hundred seventy-one million, three hundred seventy-seven thousand, two hundred eighty".