472901345280 has 1792 divisors, whose sum is σ = 2141984194560. Its totient is φ = 96315899904.

The previous prime is 472901345249. The next prime is 472901345327. The reversal of 472901345280 is 82543109274.

472901345280 is a `hidden beast` number, since 4 + 7 + 2 + 90 + 1 + 34 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3723632577 + ... + 3723632703.

It is an arithmetic number, because the mean of its divisors is an integer number (1195303680).

Almost surely, 2^472901345280 is an apocalyptic number.

472901345280 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 472901345280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070992097280).

472901345280 is an abundant number, since it is smaller than the sum of its proper divisors (1669082849280).

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

472901345280 is a wasteful number, since it uses less digits than its factorization.

472901345280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 472901345280 in words is "four hundred seventy-two billion, nine hundred one million, three hundred forty-five thousand, two hundred eighty".