472434602976 has 768 divisors, whose sum is σ = 1770389913600. Its totient is φ = 119443838976.

The previous prime is 472434602947. The next prime is 472434602989. The reversal of 472434602976 is 679206434274.

472434602976 is a `hidden beast` number, since 4 + 7 + 2 + 4 + 346 + 0 + 297 + 6 = 666.

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

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, 113645890 + ... + 113650046.

It is an arithmetic number, because the mean of its divisors is an integer number (2305195200).

Almost surely, 2^472434602976 is an apocalyptic number.

472434602976 is a gapful number since it is divisible by the number (46) 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 472434602976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885194956800).

472434602976 is an abundant number, since it is smaller than the sum of its proper divisors (1297955310624).

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

472434602976 is a wasteful number, since it uses less digits than its factorization.

472434602976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4268 (or 4254 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 472434602976 in words is "four hundred seventy-two billion, four hundred thirty-four million, six hundred two thousand, nine hundred seventy-six".