472767120 has 240 divisors, whose sum is σ = 1910413440. Its totient is φ = 102352896.

The previous prime is 472767107. The next prime is 472767131. The reversal of 472767120 is 21767274.

It is a happy number.

472767120 is a `hidden beast` number, since 472 + 7 + 67 + 120 = 666.

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93292 + ... + 98228.

It is an arithmetic number, because the mean of its divisors is an integer number (7960056).

Almost surely, 2^472767120 is an apocalyptic number.

472767120 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 472767120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955206720).

472767120 is an abundant number, since it is smaller than the sum of its proper divisors (1437646320).

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

472767120 is a wasteful number, since it uses less digits than its factorization.

472767120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4982 (or 4973 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 472767120 is about 21743.2085948693. The cubic root of 472767120 is about 779.0208621275.

The spelling of 472767120 in words is "four hundred seventy-two million, seven hundred sixty-seven thousand, one hundred twenty".