472112640 has 240 divisors, whose sum is σ = 1690356096. Its totient is φ = 121651200.

The previous prime is 472112639. The next prime is 472112647. The reversal of 472112640 is 46211274.

472112640 is a `hidden beast` number, since 4 + 7 + 2 + 1 + 12 + 640 = 666.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472112647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 713910 + ... + 714570.

Almost surely, 2^472112640 is an apocalyptic number.

472112640 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 472112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845178048).

472112640 is an abundant number, since it is smaller than the sum of its proper divisors (1218243456).

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

472112640 is a wasteful number, since it uses less digits than its factorization.

472112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 472112640 is about 21728.1531658814. The cubic root of 472112640 is about 778.6612142818.

The spelling of 472112640 in words is "four hundred seventy-two million, one hundred twelve thousand, six hundred forty".