472618464 has 192 divisors, whose sum is σ = 1378944000. Its totient is φ = 141170688.

The previous prime is 472618463. The next prime is 472618493. The reversal of 472618464 is 464816274.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472618463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3171862 + ... + 3172010.

It is an arithmetic number, because the mean of its divisors is an integer number (7182000).

Almost surely, 2^472618464 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 472618464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472000).

472618464 is an abundant number, since it is smaller than the sum of its proper divisors (906325536).

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

472618464 is a wasteful number, since it uses less digits than its factorization.

472618464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 257 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 472618464 is about 21739.7898793894. The cubic root of 472618464 is about 778.9392022852.

The spelling of 472618464 in words is "four hundred seventy-two million, six hundred eighteen thousand, four hundred sixty-four".