470901024 has 108 divisors (see below), whose sum is σ = 1472039478. Its totient is φ = 142686720.

The previous prime is 470901023. The next prime is 470901049. The reversal of 470901024 is 420109074.

It is a happy number.

470901024 is a `hidden beast` number, since 470 + 90 + 102 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 397284624 + 73616400 = 19932^2 + 8580^2 .

It is not an unprimeable number, because it can be changed into a prime (470901023) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28092 + ... + 41604.

Almost surely, 2^470901024 is an apocalyptic number.

470901024 is a gapful number since it is divisible by the number (44) 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 470901024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736019739).

470901024 is an abundant number, since it is smaller than the sum of its proper divisors (1001138454).

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

470901024 is a wasteful number, since it uses less digits than its factorization.

470901024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13551 (or 13529 counting only the distinct ones).

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

The square root of 470901024 is about 21700.2540077300. The cubic root of 470901024 is about 777.9945325556.

The spelling of 470901024 in words is "four hundred seventy million, nine hundred one thousand, twenty-four".