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470023400 = 2352711231327
BaseRepresentation
bin11100000000111…
…111110011101000
31012202102122220002
4130000333303220
51430311222100
6114350122132
714435063420
oct3400776350
91182378802
10470023400
112213525a0
121114b0348
13764ba972
14465d1480
152b3e62d5
hex1c03fce8

470023400 has 192 divisors, whose sum is σ = 1422766080. Its totient is φ = 140025600.

The previous prime is 470023373. The next prime is 470023403. The reversal of 470023400 is 4320074.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470023403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 353537 + ... + 354863.

It is an arithmetic number, because the mean of its divisors is an integer number (7410240).

Almost surely, 2470023400 is an apocalyptic number.

470023400 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 470023400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711383040).

470023400 is an abundant number, since it is smaller than the sum of its proper divisors (952742680).

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

470023400 is a wasteful number, since it uses less digits than its factorization.

470023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1375 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 20.

The square root of 470023400 is about 21680.0230627184. The cubic root of 470023400 is about 777.5109126786.

Adding to 470023400 its reverse (4320074), we get a palindrome (474343474).

The spelling of 470023400 in words is "four hundred seventy million, twenty-three thousand, four hundred".