472923360 has 480 divisors, whose sum is σ = 2059307712. Its totient is φ = 99532800.

The previous prime is 472923359. The next prime is 472923361. The reversal of 472923360 is 63329274.

It is a happy number.

472923360 is a `hidden beast` number, since 4 + 7 + 292 + 3 + 360 = 666.

It is an interprime number because it is at equal distance from previous prime (472923359) and next prime (472923361).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472923361) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1179160 + ... + 1179560.

Almost surely, 2^472923360 is an apocalyptic number.

472923360 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 472923360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029653856).

472923360 is an abundant number, since it is smaller than the sum of its proper divisors (1586384352).

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

472923360 is a wasteful number, since it uses less digits than its factorization.

472923360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 472923360 is about 21746.8011440763. The cubic root of 472923360 is about 779.1066695710.

The spelling of 472923360 in words is "four hundred seventy-two million, nine hundred twenty-three thousand, three hundred sixty".