471653952 has 224 divisors, whose sum is σ = 1584374784. Its totient is φ = 120268800.

The previous prime is 471653947. The next prime is 471653953. The reversal of 471653952 is 259356174.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (471653953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 901563 + ... + 902085.

Almost surely, 2^471653952 is an apocalyptic number.

471653952 is a gapful number since it is divisible by the number (42) 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 471653952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792187392).

471653952 is an abundant number, since it is smaller than the sum of its proper divisors (1112720832).

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

471653952 is a wasteful number, since it uses less digits than its factorization.

471653952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 607 counting only the distinct ones).

The product of its digits is 226800, while the sum is 42.

The square root of 471653952 is about 21717.5954470102. The cubic root of 471653952 is about 778.4089593069.

The spelling of 471653952 in words is "four hundred seventy-one million, six hundred fifty-three thousand, nine hundred fifty-two".