470053760 has 128 divisors (see below), whose sum is σ = 1279618560. Its totient is φ = 163440640.

The previous prime is 470053729. The next prime is 470053763. The reversal of 470053760 is 67350074.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470053763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160469 + ... + 163371.

It is an arithmetic number, because the mean of its divisors is an integer number (9997020).

Almost surely, 2^470053760 is an apocalyptic number.

470053760 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 470053760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639809280).

470053760 is an abundant number, since it is smaller than the sum of its proper divisors (809564800).

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

470053760 is a wasteful number, since it uses less digits than its factorization.

470053760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2956 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 32.

The square root of 470053760 is about 21680.7232351691. The cubic root of 470053760 is about 777.5276527835.

The spelling of 470053760 in words is "four hundred seventy million, fifty-three thousand, seven hundred sixty".