472112760 has 128 divisors (see below), whose sum is σ = 1703923200. Its totient is φ = 102228480.

The previous prime is 472112759. The next prime is 472112761. The reversal of 472112760 is 67211274.

It is an interprime number because it is at equal distance from previous prime (472112759) and next prime (472112761).

It is a super-3 number, since 3×472112760³ (a number of 27 digits) contains 333 as substring.

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 (472112761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1170 + ... + 30750.

It is an arithmetic number, because the mean of its divisors is an integer number (13311900).

Almost surely, 2^472112760 is an apocalyptic number.

472112760 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 472112760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851961600).

472112760 is an abundant number, since it is smaller than the sum of its proper divisors (1231810440).

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

472112760 is a wasteful number, since it uses less digits than its factorization.

472112760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29621 (or 29617 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 472112760 is about 21728.1559272756. The cubic root of 472112760 is about 778.6612802543.

The spelling of 472112760 in words is "four hundred seventy-two million, one hundred twelve thousand, seven hundred sixty".