472491418752 has 320 divisors, whose sum is σ = 1482047107200. Its totient is φ = 149015033856.

The previous prime is 472491418727. The next prime is 472491418753. The reversal of 472491418752 is 257814194274.

It is a happy number.

472491418752 is a `hidden beast` number, since 4 + 72 + 4 + 91 + 418 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (472491418753) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 292926298 + ... + 292927910.

It is an arithmetic number, because the mean of its divisors is an integer number (4631397210).

Almost surely, 2^472491418752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472491418752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741023553600).

472491418752 is an abundant number, since it is smaller than the sum of its proper divisors (1009555688448).

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

472491418752 is a wasteful number, since it uses less digits than its factorization.

472491418752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3145 (or 3124 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 472491418752 in words is "four hundred seventy-two billion, four hundred ninety-one million, four hundred eighteen thousand, seven hundred fifty-two".