472350720 has 192 divisors, whose sum is σ = 1561830120. Its totient is φ = 121896960.

The previous prime is 472350707. The next prime is 472350727. The reversal of 472350720 is 27053274.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472350727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15237105 + ... + 15237135.

Almost surely, 2^472350720 is an apocalyptic number.

472350720 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 472350720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780915060).

472350720 is an abundant number, since it is smaller than the sum of its proper divisors (1089479400).

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

472350720 is an frugal number, since it uses more digits than its factorization.

472350720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 30.

The square root of 472350720 is about 21733.6310818050. The cubic root of 472350720 is about 778.7920817152.

Multiplying 472350720 by its sum of digits (30), we get a square (14170521600 = 119040²).

472350720 divided by its sum of digits (30) gives a square (15745024 = 3968²).

The spelling of 472350720 in words is "four hundred seventy-two million, three hundred fifty thousand, seven hundred twenty".