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469428960 = 253571113977
BaseRepresentation
bin11011111110101…
…110101011100000
31012201022110110210
4123332232223200
51430133211320
6114325254120
714430036360
oct3376565340
91181273423
10469428960
11220a86a20
12111264340
1376340220
14464b89a0
152b32a0e0
hex1bfaeae0

469428960 has 384 divisors, whose sum is σ = 1987421184. Its totient is φ = 89948160.

The previous prime is 469428959. The next prime is 469429019. The reversal of 469428960 is 69824964.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 479992 + ... + 480968.

It is an arithmetic number, because the mean of its divisors is an integer number (5175576).

Almost surely, 2469428960 is an apocalyptic number.

469428960 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 469428960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993710592).

469428960 is an abundant number, since it is smaller than the sum of its proper divisors (1517992224).

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

469428960 is a wasteful number, since it uses less digits than its factorization.

469428960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1026 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 48.

The square root of 469428960 is about 21666.3093303867. The cubic root of 469428960 is about 777.1830009437.

The spelling of 469428960 in words is "four hundred sixty-nine million, four hundred twenty-eight thousand, nine hundred sixty".