472102848 has 252 divisors, whose sum is σ = 1614876120. Its totient is φ = 131410944.

The previous prime is 472102847. The next prime is 472102877. The reversal of 472102848 is 848201274.

472102848 is a `hidden beast` number, since 472 + 102 + 84 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×472102848² = 445762198179422208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472102847) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1213438 + ... + 1213826.

Almost surely, 2^472102848 is an apocalyptic number.

472102848 is a gapful number since it is divisible by the number (48) 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 472102848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807438060).

472102848 is an abundant number, since it is smaller than the sum of its proper divisors (1142773272).

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

472102848 is a wasteful number, since it uses less digits than its factorization.

472102848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 472102848 is about 21727.9278349317. The cubic root of 472102848 is about 778.6558308890.

The spelling of 472102848 in words is "four hundred seventy-two million, one hundred two thousand, eight hundred forty-eight".