471407832 has 144 divisors (see below), whose sum is σ = 1521865800. Its totient is φ = 131362560.

The previous prime is 471407831. The next prime is 471407851. The reversal of 471407832 is 238704174.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (471407831) 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 35 ways as a sum of consecutive naturals, for example, 143019 + ... + 146277.

Almost surely, 2^471407832 is an apocalyptic number.

471407832 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 471407832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (760932900).

471407832 is an abundant number, since it is smaller than the sum of its proper divisors (1050457968).

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

471407832 is a wasteful number, since it uses less digits than its factorization.

471407832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3326 (or 3312 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 471407832 is about 21711.9283344433. The cubic root of 471407832 is about 778.2735384503.

The spelling of 471407832 in words is "four hundred seventy-one million, four hundred seven thousand, eight hundred thirty-two".