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469260000 = 2533541179
BaseRepresentation
bin11011111110000…
…101011011100000
31012200222212201000
4123332011123200
51430112310000
6114321512000
714425433646
oct3376053340
91180885630
10469260000
11220980a90
121111a2600
13762b1351
1446473196
152b2e5000
hex1bf856e0

469260000 has 480 divisors, whose sum is σ = 1889395200. Its totient is φ = 112320000.

The previous prime is 469259971. The next prime is 469260013. The reversal of 469260000 is 62964.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5939961 + ... + 5940039.

It is an arithmetic number, because the mean of its divisors is an integer number (3936240).

Almost surely, 2469260000 is an apocalyptic number.

469260000 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 469260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944697600).

469260000 is an abundant number, since it is smaller than the sum of its proper divisors (1420135200).

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

469260000 is a wasteful number, since it uses less digits than its factorization.

469260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 469260000 is about 21662.4098382428. The cubic root of 469260000 is about 777.0897467927.

The spelling of 469260000 in words is "four hundred sixty-nine million, two hundred sixty thousand".