470111040 has 280 divisors, whose sum is σ = 1911900672. Its totient is φ = 107412480.

The previous prime is 470111039. The next prime is 470111041. The reversal of 470111040 is 40111074.

It is an interprime number because it is at equal distance from previous prime (470111039) and next prime (470111041).

It is a tau number, because it is divible by the number of its divisors (280).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470111041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 180145 + ... + 182735.

Almost surely, 2^470111040 is an apocalyptic number.

470111040 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 470111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955950336).

470111040 is an abundant number, since it is smaller than the sum of its proper divisors (1441789632).

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

470111040 is a wasteful number, since it uses less digits than its factorization.

470111040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2627 (or 2608 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 470111040 is about 21682.0441840708. The cubic root of 470111040 is about 777.5592342598.

The spelling of 470111040 in words is "four hundred seventy million, one hundred eleven thousand, forty".