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685490400 = 253252722967
BaseRepresentation
bin101000110110111…
…100000011100000
31202202212112001100
4220312330003200
52400441143100
6152004234400
722662400200
oct5066740340
91682775040
10685490400
11321a3a0a1
1217169ba00
13ac02c02a
146707c400
15402a8400
hex28dbc0e0

685490400 has 648 divisors, whose sum is σ = 2952232920. Its totient is φ = 149022720.

The previous prime is 685490369. The next prime is 685490423. The reversal of 685490400 is 4094586.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 10231167 + ... + 10231233.

It is an arithmetic number, because the mean of its divisors is an integer number (4555915).

Almost surely, 2685490400 is an apocalyptic number.

685490400 is a gapful number since it is divisible by the number (60) 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 685490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476116460).

685490400 is an abundant number, since it is smaller than the sum of its proper divisors (2266742520).

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

685490400 is a wasteful number, since it uses less digits than its factorization.

685490400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 685490400 is about 26181.8715908546. The cubic root of 685490400 is about 881.7262945122.

The spelling of 685490400 in words is "six hundred eighty-five million, four hundred ninety thousand, four hundred".