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470025504 = 25341322937
BaseRepresentation
bin11100000001000…
…000010100100000
31012202102202210000
4130001000110200
51430311304004
6114350140000
714435102514
oct3401002440
91182382700
10470025504
11221354133
121114b1600
13764bb900
14465d2144
152b3e6c39
hex1c040520

470025504 has 360 divisors, whose sum is σ = 1590310260. Its totient is φ = 135862272.

The previous prime is 470025487. The next prime is 470025509. The reversal of 470025504 is 405520074.

It can be written as a sum of positive squares in 6 ways, for example, as 165173904 + 304851600 = 12852^2 + 17460^2 .

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

It is not an unprimeable number, because it can be changed into a prime (470025509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12703374 + ... + 12703410.

Almost surely, 2470025504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470025504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795155130).

470025504 is an abundant number, since it is smaller than the sum of its proper divisors (1120284756).

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

470025504 is a wasteful number, since it uses less digits than its factorization.

470025504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 470025504 is about 21680.0715865977. The cubic root of 470025504 is about 777.5120728198.

Adding to 470025504 its reverse (405520074), we get a palindrome (875545578).

The spelling of 470025504 in words is "four hundred seventy million, twenty-five thousand, five hundred four".