472563360 has 144 divisors (see below), whose sum is σ = 1628224416. Its totient is φ = 124798464.

The previous prime is 472563353. The next prime is 472563361. The reversal of 472563360 is 63365274.

472563360 is a `hidden beast` number, since 47 + 256 + 3 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×472563360² = 446632258428979200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (472563361) 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, 152547 + ... + 155613.

It is an arithmetic number, because the mean of its divisors is an integer number (11307114).

Almost surely, 2^472563360 is an apocalyptic number.

472563360 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 472563360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814112208).

472563360 is an abundant number, since it is smaller than the sum of its proper divisors (1155661056).

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

472563360 is a wasteful number, since it uses less digits than its factorization.

472563360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3195 (or 3184 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 472563360 is about 21738.5224888905. The cubic root of 472563360 is about 778.9089281583.

The spelling of 472563360 in words is "four hundred seventy-two million, five hundred sixty-three thousand, three hundred sixty".