470751840 has 144 divisors (see below), whose sum is σ = 1730081808. Its totient is φ = 115872768.

The previous prime is 470751793. The next prime is 470751863. The reversal of 470751840 is 48157074.

470751840 is a `hidden beast` number, since 470 + 7 + 5 + 184 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 470751795 and 470751804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6147 + ... + 31293.

It is an arithmetic number, because the mean of its divisors is an integer number (12014457).

Almost surely, 2^470751840 is an apocalyptic number.

470751840 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 470751840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865040904).

470751840 is an abundant number, since it is smaller than the sum of its proper divisors (1259329968).

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

470751840 is a wasteful number, since it uses less digits than its factorization.

470751840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25181 (or 25170 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 470751840 is about 21696.8163563229. The cubic root of 470751840 is about 777.9123662481.

The spelling of 470751840 in words is "four hundred seventy million, seven hundred fifty-one thousand, eight hundred forty".