472770252360 has 192 divisors, whose sum is σ = 1757363662080. Its totient is φ = 107978088960.

The previous prime is 472770252299. The next prime is 472770252421. The reversal of 472770252360 is 63252077274.

472770252360 is a `hidden beast` number, since 47 + 27 + 7 + 0 + 2 + 523 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (472770252299) and next prime (472770252421).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3211570 + ... + 3355550.

It is an arithmetic number, because the mean of its divisors is an integer number (9152935740).

Almost surely, 2^472770252360 is an apocalyptic number.

472770252360 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 472770252360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878681831040).

472770252360 is an abundant number, since it is smaller than the sum of its proper divisors (1284593409720).

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

472770252360 is a wasteful number, since it uses less digits than its factorization.

472770252360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145308 (or 145301 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 45.

The spelling of 472770252360 in words is "four hundred seventy-two billion, seven hundred seventy million, two hundred fifty-two thousand, three hundred sixty".