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470400 = 2735272
BaseRepresentation
bin1110010110110000000
3212220021020
41302312000
5110023100
614025440
73666300
oct1626600
9786236
10470400
112a1467
121a8280
13136158
14c3600
15945a0
hex72d80

470400 has 144 divisors (see below), whose sum is σ = 1802340. Its totient is φ = 107520.

The previous prime is 470399. The next prime is 470411. The reversal of 470400 is 4074.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 470400.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 470400.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 67197 + ... + 67203.

2470400 is an apocalyptic number.

470400 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 470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901170).

470400 is an abundant number, since it is smaller than the sum of its proper divisors (1331940).

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

470400 is a wasteful number, since it uses less digits than its factorization.

470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 15.

The square root of 470400 is about 685.8571279793. The cubic root of 470400 is about 77.7718514003.

Adding to 470400 its reverse (4074), we get a palindrome (474474).

The spelling of 470400 in words is "four hundred seventy thousand, four hundred", and thus it is an iban number.