471672720 has 240 divisors, whose sum is σ = 1730514240. Its totient is φ = 119066112.

The previous prime is 471672713. The next prime is 471672743. The reversal of 471672720 is 27276174.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 368722 + ... + 369998.

It is an arithmetic number, because the mean of its divisors is an integer number (7210476).

Almost surely, 2^471672720 is an apocalyptic number.

471672720 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 471672720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865257120).

471672720 is an abundant number, since it is smaller than the sum of its proper divisors (1258841520).

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

471672720 is a wasteful number, since it uses less digits than its factorization.

471672720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 471672720 is about 21718.0275347463. The cubic root of 471672720 is about 778.4192839567.

The spelling of 471672720 in words is "four hundred seventy-one million, six hundred seventy-two thousand, seven hundred twenty".