470126160 has 640 divisors, whose sum is σ = 2057011200. Its totient is φ = 96215040.

The previous prime is 470126159. The next prime is 470126161. The reversal of 470126160 is 61621074.

470126160 is a `hidden beast` number, since 47 + 0 + 1 + 2 + 616 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (470126159) and next prime (470126161).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470126161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7968211 + ... + 7968269.

It is an arithmetic number, because the mean of its divisors is an integer number (3214080).

Almost surely, 2^470126160 is an apocalyptic number.

470126160 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 470126160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028505600).

470126160 is an abundant number, since it is smaller than the sum of its proper divisors (1586885040).

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

470126160 is a wasteful number, since it uses less digits than its factorization.

470126160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 470126160 is about 21682.3928568781. The cubic root of 470126160 is about 777.5675702830.

The spelling of 470126160 in words is "four hundred seventy million, one hundred twenty-six thousand, one hundred sixty".